instruction stringlengths 211 775 | response stringclasses 4
values | original_instruction stringlengths 15 572 | reasoning_response stringlengths 12 1.79k |
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heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has X% water . how many liters of tomato puree will be obtained from 20 litres of tomato juice ?
If the answer to the question is 2.5 liters ., then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. few C. small amount D. tiny amount | A | heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many liters of tomato puree will be obtained from 20 litres of tomato juice ? | "answer : explanation : in each of the solutions , there is a pure tomato component and some water . so while boiling , water evaporates but tomato not . so we equate tomato part in the both equations . ⇒ ⇒ 10 % ( 20 ) = 80 % ( x ) ⇒ ⇒ x = 2.5 liters . answer : b" |
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is X% higher than his regular rate . if last week the bus driver earned $ 1032 in total compensation , how many total hours did he work that week ?
If the answer to the question is 54, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. small amount C. all D. none | A | a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1032 in total compensation , how many total hours did he work that week ? | for 40 hrs = 40 * 16 = 640 excess = 1032 - 640 = 392 for extra hours = . 75 ( 16 ) = 12 + 16 = 28 number of extra hrs = 392 / 28 = 98 / 7 = 14 total hrs = 40 + 14 = 54 answer e 52 |
how many liters of a X% iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 32 % iodine solution ?
If the answer to the question is 102, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. all D. none | B | how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 32 % iodine solution ? | "solution 1 : assume the iodine solution to be mixed = x lts . iodine = 0.4 x lts , water = 0.6 x lts . solution 2 : 35 liters of a 20 % iodine solution iodine = 7 lts , water = 28 lts . total iodine = 0.4 x + 7 total water = 0.6 x + 28 the resultant is a 35 % idoine solution . hence ( 0.4 x + 7 ) / ( x + 35 ) = 32 / 100 40 x + 700 = 32 x + 1120 8 x = 820 x = 102 lts correct option : d" |
how many liters of a 40 % iodine solution need to be mixed with 35 liters of a X% iodine solution to create a 32 % iodine solution ?
If the answer to the question is 102, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. most C. none D. tiny amount | A | how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 32 % iodine solution ? | "solution 1 : assume the iodine solution to be mixed = x lts . iodine = 0.4 x lts , water = 0.6 x lts . solution 2 : 35 liters of a 20 % iodine solution iodine = 7 lts , water = 28 lts . total iodine = 0.4 x + 7 total water = 0.6 x + 28 the resultant is a 35 % idoine solution . hence ( 0.4 x + 7 ) / ( x + 35 ) = 32 / 100 40 x + 700 = 32 x + 1120 8 x = 820 x = 102 lts correct option : d" |
how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a X% iodine solution ?
If the answer to the question is 102, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. most C. tiny amount D. moderate amount | D | how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 32 % iodine solution ? | "solution 1 : assume the iodine solution to be mixed = x lts . iodine = 0.4 x lts , water = 0.6 x lts . solution 2 : 35 liters of a 20 % iodine solution iodine = 7 lts , water = 28 lts . total iodine = 0.4 x + 7 total water = 0.6 x + 28 the resultant is a 35 % idoine solution . hence ( 0.4 x + 7 ) / ( x + 35 ) = 32 / 100 40 x + 700 = 32 x + 1120 8 x = 820 x = 102 lts correct option : d" |
if the simple interest on a certain amount in at X% rate 5 years amounted to rs . 2400 less than the principal . what was the principal ?
If the answer to the question is 3000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. moderate amount C. small amount D. tiny amount | D | if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2400 less than the principal . what was the principal ? | "p - 2400 = ( p * 5 * 4 ) / 100 p = 3000 answer : d" |
find the compound interest on $ 1000 in 2 years at X% per annum , the interest being compounded half - yearly ?
If the answer to the question is $ 82.43, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. most C. moderate amount D. some | A | find the compound interest on $ 1000 in 2 years at 4 % per annum , the interest being compounded half - yearly ? | "principle = $ 10000 rate = 2 % half yearly = 4 half years amount = 1000 * ( 1 + 2 / 100 ) ^ 4 = 1000 * 51 / 50 * 51 / 50 * 51 / 50 * 51 / 50 = $ 1082.43 c . i . = 1082.43 - 1000 = $ 82.43 answer is b" |
the population of a town is 8000 . it decreases annually at the rate of X% p . a . what was its population 2 years ago ?
If the answer to the question is 9876, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. some D. all | B | the population of a town is 8000 . it decreases annually at the rate of 10 % p . a . what was its population 2 years ago ? | "formula : ( after = 100 denominator ago = 100 numerator ) 8000 ã — 100 / 90 ã — 100 / 90 = 9876 a )" |
a man buys a cycle for rs . 1900 and sells it at a loss of X% . what is the selling price of the cycle ?
If the answer to the question is s . 1558, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. small amount D. moderate amount | C | a man buys a cycle for rs . 1900 and sells it at a loss of 18 % . what is the selling price of the cycle ? | "s . p . = 82 % of rs . 1900 = rs . 82 x 1900 / 100 = rs . 1558 answer : option c" |
a fair price shopkeeper takes X% profit on his goods . he lost 60 % goods during theft . his loss percent is :
If the answer to the question is 56 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. some C. small amount D. few | D | a fair price shopkeeper takes 10 % profit on his goods . he lost 60 % goods during theft . his loss percent is : | "explanation : suppose he has 100 items . let c . p . of each item be re . 1 . total cost = rs . 100 . number of items left after theft = 40 . s . p . of each item = rs . 1.10 total sale = 1.10 * 40 = rs . 44 hence , loss % = 56 / 100 * 100 = 56 % answer : c" |
a fair price shopkeeper takes 10 % profit on his goods . he lost X% goods during theft . his loss percent is :
If the answer to the question is 56 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. most C. tiny amount D. all | B | a fair price shopkeeper takes 10 % profit on his goods . he lost 60 % goods during theft . his loss percent is : | "explanation : suppose he has 100 items . let c . p . of each item be re . 1 . total cost = rs . 100 . number of items left after theft = 40 . s . p . of each item = rs . 1.10 total sale = 1.10 * 40 = rs . 44 hence , loss % = 56 / 100 * 100 = 56 % answer : c" |
if a man lost X% by selling oranges at the rate of 72 a rupee at how many a rupee must he sell them to gain 44 % ?
If the answer to the question is 48, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. tiny amount C. all D. small amount | B | if a man lost 4 % by selling oranges at the rate of 72 a rupee at how many a rupee must he sell them to gain 44 % ? | "96 % - - - - 72 144 % - - - - ? 96 / 144 * 72 = 48 answer : b" |
if a man lost 4 % by selling oranges at the rate of 72 a rupee at how many a rupee must he sell them to gain X% ?
If the answer to the question is 48, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. moderate amount C. all D. some | B | if a man lost 4 % by selling oranges at the rate of 72 a rupee at how many a rupee must he sell them to gain 44 % ? | "96 % - - - - 72 144 % - - - - ? 96 / 144 * 72 = 48 answer : b" |
at joel ’ s bookstore , the current inventory is X% historical fiction . of the historical fiction books , 40 % are new releases , while 50 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ?
If the answer to the question is 12 / 47, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. small amount C. moderate amount D. few | C | at joel ’ s bookstore , the current inventory is 30 % historical fiction . of the historical fiction books , 40 % are new releases , while 50 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ? | let there be 100 books in all historic fiction books = 30 % of total = 30 other books = 70 new historic fiction = 40 % of 30 = 12 other new books = 50 % of 70 = 35 total new books = 35 + 12 = 47 fraction = 12 / 47 ans : b |
at joel ’ s bookstore , the current inventory is 30 % historical fiction . of the historical fiction books , X% are new releases , while 50 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ?
If the answer to the question is 12 / 47, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. small amount C. most D. moderate amount | D | at joel ’ s bookstore , the current inventory is 30 % historical fiction . of the historical fiction books , 40 % are new releases , while 50 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ? | let there be 100 books in all historic fiction books = 30 % of total = 30 other books = 70 new historic fiction = 40 % of 30 = 12 other new books = 50 % of 70 = 35 total new books = 35 + 12 = 47 fraction = 12 / 47 ans : b |
at joel ’ s bookstore , the current inventory is 30 % historical fiction . of the historical fiction books , 40 % are new releases , while X% of the other books are new releases . what fraction of all new releases are the historical fiction new releases ?
If the answer to the question is 12 / 47, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. most C. tiny amount D. moderate amount | D | at joel ’ s bookstore , the current inventory is 30 % historical fiction . of the historical fiction books , 40 % are new releases , while 50 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ? | let there be 100 books in all historic fiction books = 30 % of total = 30 other books = 70 new historic fiction = 40 % of 30 = 12 other new books = 50 % of 70 = 35 total new books = 35 + 12 = 47 fraction = 12 / 47 ans : b |
if X% of a class averages 95 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .
If the answer to the question is 85 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. tiny amount C. moderate amount D. most | C | if 45 % of a class averages 95 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 95 + 0.50 x 78 + 0.05 x 60 = 84.75 the class average ( rounded ) is 85 % final answer c ) 85 %" |
if 45 % of a class averages X% on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .
If the answer to the question is 85 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. some C. all D. moderate amount | C | if 45 % of a class averages 95 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 95 + 0.50 x 78 + 0.05 x 60 = 84.75 the class average ( rounded ) is 85 % final answer c ) 85 %" |
if 45 % of a class averages 95 % on a test , X% of the class averages 78 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .
If the answer to the question is 85 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. most D. moderate amount | D | if 45 % of a class averages 95 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 95 + 0.50 x 78 + 0.05 x 60 = 84.75 the class average ( rounded ) is 85 % final answer c ) 85 %" |
if 45 % of a class averages 95 % on a test , 50 % of the class averages X% on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .
If the answer to the question is 85 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. some D. most | D | if 45 % of a class averages 95 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 95 + 0.50 x 78 + 0.05 x 60 = 84.75 the class average ( rounded ) is 85 % final answer c ) 85 %" |
if 45 % of a class averages 95 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages X% on the test , what is the overall class average ? ( round final answer to the nearest percent ) .
If the answer to the question is 85 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. none C. small amount D. most | D | if 45 % of a class averages 95 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 95 + 0.50 x 78 + 0.05 x 60 = 84.75 the class average ( rounded ) is 85 % final answer c ) 85 %" |
calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by X% and its breadth is decreased by 25 % ?
If the answer to the question is 5 % increase, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. few C. moderate amount D. none | C | calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 40 % and its breadth is decreased by 25 % ? | "let l and b be 100 each 100 * 100 = 10000 l increase by 40 % = 140 b decrease by 25 % = 75 140 * 75 = 10500 5 % increase answer : a" |
calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 40 % and its breadth is decreased by X% ?
If the answer to the question is 5 % increase, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. tiny amount D. all | B | calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 40 % and its breadth is decreased by 25 % ? | "let l and b be 100 each 100 * 100 = 10000 l increase by 40 % = 140 b decrease by 25 % = 75 140 * 75 = 10500 5 % increase answer : a" |
a man bought 20 shares of rs . 50 at 5 discount , the rate of dividend being X% . the rate of interest obtained is
If the answer to the question is 5.28 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. some C. all D. none | A | a man bought 20 shares of rs . 50 at 5 discount , the rate of dividend being 4 % . the rate of interest obtained is | "shares = 20 shares 50 at 5 discount rate divident 4 % req = = = > 5.28 % answer b" |
john and jane went out for a dinner and they ordered the same dish . both used a X% discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.60 more than jane , what was the original price of the dish ?
If the answer to the question is 40, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. none C. few D. all | C | john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.60 more than jane , what was the original price of the dish ? | "the difference between the amounts john paid and jane paid is the deference between 15 % of p and 15 % of 0.9 p : 0.15 p - 0.15 * 0.9 p = 0.60 - - > 15 p - 13.5 p = 60 - - > p = 40 . answer : d ." |
john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a X% tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.60 more than jane , what was the original price of the dish ?
If the answer to the question is 40, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. small amount C. tiny amount D. few | B | john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.60 more than jane , what was the original price of the dish ? | "the difference between the amounts john paid and jane paid is the deference between 15 % of p and 15 % of 0.9 p : 0.15 p - 0.15 * 0.9 p = 0.60 - - > 15 p - 13.5 p = 60 - - > p = 40 . answer : d ." |
120 students represent x percent of the boys at a school . if the boys at the school make up X% of the total school population of x students , what is x ?
If the answer to the question is 200, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. none D. most | A | 120 students represent x percent of the boys at a school . if the boys at the school make up 30 % of the total school population of x students , what is x ? | "let b be the number of boys in the school . 120 = xb / 100 b = 0.3 x 12000 = 0.3 x ^ 2 x ^ 2 = 40000 x = 200 the answer is d ." |
of the diplomats attending a summit conference , 17 speak french , 32 do not speak russian , and X% of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ?
If the answer to the question is 150, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. some C. moderate amount D. few | A | of the diplomats attending a summit conference , 17 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ? | "{ total } = { french } + { russian } - { both } + { neither } { total } = 17 + ( { total } - 32 ) - ( 0.1 * { total } ) + 0.2 * { total } solving gives { total } = 150 . answer : e ." |
of the diplomats attending a summit conference , 17 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if X% of the diplomats speak both languages , then how many diplomats attended the conference ?
If the answer to the question is 150, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. all C. most D. few | D | of the diplomats attending a summit conference , 17 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ? | "{ total } = { french } + { russian } - { both } + { neither } { total } = 17 + ( { total } - 32 ) - ( 0.1 * { total } ) + 0.2 * { total } solving gives { total } = 150 . answer : e ." |
exactly X% of the reporters for a certain wire service cover local politics in country x . if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?
If the answer to the question is 50 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. none C. moderate amount D. few | C | exactly 35 % of the reporters for a certain wire service cover local politics in country x . if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ? | "you are correct . people who cover local politics are a subset of people who cover politics . 30 % of reporters who cover politics do not cover local politics so 70 % do cover local politics . reporters covering local politics = 70 % of reporters covering politics = 35 % ofall reporters reporters covering politics / all reporters = 35 / 70 = 1 / 2 reporters not covering politics / all reporters = 1 / 2 = 50 % = d" |
exactly 35 % of the reporters for a certain wire service cover local politics in country x . if X% of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?
If the answer to the question is 50 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. all C. moderate amount D. most | C | exactly 35 % of the reporters for a certain wire service cover local politics in country x . if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ? | "you are correct . people who cover local politics are a subset of people who cover politics . 30 % of reporters who cover politics do not cover local politics so 70 % do cover local politics . reporters covering local politics = 70 % of reporters covering politics = 35 % ofall reporters reporters covering politics / all reporters = 35 / 70 = 1 / 2 reporters not covering politics / all reporters = 1 / 2 = 50 % = d" |
an article is sold at a certain price . by selling it at 2 / 3 of that price one loses X% . find the gain percent at original price ?
If the answer to the question is 35 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. few C. tiny amount D. small amount | B | an article is sold at a certain price . by selling it at 2 / 3 of that price one loses 10 % . find the gain percent at original price ? | let the original s . p . be $ x then , new s . p . = $ 2 / 3 x loss = 10 % c . p . = 100 / 90 * 2 / 3 x = 20 x / 27 c . p . = 20 x / 27 gain = x - 20 x / 27 = 7 x / 27 gain % = 7 x / 27 * 27 / 20 x * 100 = 35 % answer is c |
in an examination , X% of total students failed in hindi , 45 % failed in english and 20 % in both . the percentage of these who passed in both the subjects is :
If the answer to the question is 40 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. tiny amount C. some D. all | A | in an examination , 35 % of total students failed in hindi , 45 % failed in english and 20 % in both . the percentage of these who passed in both the subjects is : | "pass percentage = 100 - ( 35 + 45 - 20 ) = 100 - 60 = 40 answer : d" |
in an examination , 35 % of total students failed in hindi , X% failed in english and 20 % in both . the percentage of these who passed in both the subjects is :
If the answer to the question is 40 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. most C. none D. moderate amount | D | in an examination , 35 % of total students failed in hindi , 45 % failed in english and 20 % in both . the percentage of these who passed in both the subjects is : | "pass percentage = 100 - ( 35 + 45 - 20 ) = 100 - 60 = 40 answer : d" |
in an examination , 35 % of total students failed in hindi , 45 % failed in english and X% in both . the percentage of these who passed in both the subjects is :
If the answer to the question is 40 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. tiny amount C. most D. small amount | D | in an examination , 35 % of total students failed in hindi , 45 % failed in english and 20 % in both . the percentage of these who passed in both the subjects is : | "pass percentage = 100 - ( 35 + 45 - 20 ) = 100 - 60 = 40 answer : d" |
there were two candidates in an election . winner candidate received X% of votes and won the election by 384 votes . find the number of votes casted to the winning candidate ?
If the answer to the question is 992, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. none D. few | A | there were two candidates in an election . winner candidate received 62 % of votes and won the election by 384 votes . find the number of votes casted to the winning candidate ? | "w = 62 % l = 38 % 62 % - 38 % = 24 % 24 % - - - - - - - - 384 62 % - - - - - - - - ? = > 992 answer : c" |
selling an kite for rs . 30 , a shop keeper gains X% . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?
If the answer to the question is 12.5 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. tiny amount D. moderate amount | A | selling an kite for rs . 30 , a shop keeper gains 25 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ? | "explanation : marked price = rs . 30 c . p . = 100 / 125 * 30 = rs . 24 sale price = 90 % of rs . 30 = rs . 27 required gain % = 3 / 24 * 100 = 12.5 % . answer : d" |
selling an kite for rs . 30 , a shop keeper gains 25 % . during a clearance sale , the shopkeeper allows a discount of X% on the marked price . his gain percent during the sale is ?
If the answer to the question is 12.5 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. all D. small amount | B | selling an kite for rs . 30 , a shop keeper gains 25 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ? | "explanation : marked price = rs . 30 c . p . = 100 / 125 * 30 = rs . 24 sale price = 90 % of rs . 30 = rs . 27 required gain % = 3 / 24 * 100 = 12.5 % . answer : d" |
a store reduced the price of all items in the store by X% on the first day and by another 10 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ?
If the answer to the question is 81.0, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. tiny amount C. most D. small amount | A | a store reduced the price of all items in the store by 10 % on the first day and by another 10 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ? | "consider price of the all items as $ 100 after a initial reduction of 10 % price becomes = 0.9 * 100 = $ 90 after the final reduction of 10 % price becomes = 0.9 * 90 = $ 81 price of all items on second day is 81 % of price on first day correct answer option c" |
a store reduced the price of all items in the store by 10 % on the first day and by another X% on the second day . the price of items on the second day was what percent of the price before the first reduction took place ?
If the answer to the question is 81.0, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. most D. few | D | a store reduced the price of all items in the store by 10 % on the first day and by another 10 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ? | "consider price of the all items as $ 100 after a initial reduction of 10 % price becomes = 0.9 * 100 = $ 90 after the final reduction of 10 % price becomes = 0.9 * 90 = $ 81 price of all items on second day is 81 % of price on first day correct answer option c" |
on the first of the year , james invested x dollars at proudstar bank in an account that yields X% in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?
If the answer to the question is 2.04 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. all C. some D. none | D | on the first of the year , james invested x dollars at proudstar bank in an account that yields 0.5 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ? | per quarter , interest = 0.5 % so for a year , interest = 2 % due to quarter cumulation , effective yield ( ytm ) would be slight higher than 2 % answer = 2.04 % = answer : a |
the chance of rain on any given day in tel - aviv is X% . what is the probability w that it rained in tel - aviv on exactly 4 out of 6 randomly chosen days ?
If the answer to the question is 15 / 64, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. all C. moderate amount D. some | C | the chance of rain on any given day in tel - aviv is 50 % . what is the probability w that it rained in tel - aviv on exactly 4 out of 6 randomly chosen days ? | chances of rain on exactly 4 days and not rain on 2 days = ( 1 / 2 ) ^ 4 * ( 1 / 2 ) ^ 2 = 1 / 64 chosing 4 days out of 6 = 6 ! / ( 4 ! * 2 ! ) = 15 chances of rain on exactly 4 days out of 6 days w = 15 / 64 ans a it is . |
the population of a city is 415600 . it increased by X% in the first year and decreased by 30 % in the second year . what is the population of the city at the end of second year ?
If the answer to the question is 363650, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. most C. all D. some | D | the population of a city is 415600 . it increased by 25 % in the first year and decreased by 30 % in the second year . what is the population of the city at the end of second year ? | as per given data , p = 415600 , r 1 = 25 % incresed , r 2 = 30 % decreased population of the city at the end of the second year = p ( 1 + r 1 / 100 ) ( 1 - r 2 / 100 ) = 415600 ( 1 + 25 / 100 ) ( 1 - 30 / 100 ) = 363650 answer : c |
the population of a city is 415600 . it increased by 25 % in the first year and decreased by X% in the second year . what is the population of the city at the end of second year ?
If the answer to the question is 363650, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. small amount C. moderate amount D. some | C | the population of a city is 415600 . it increased by 25 % in the first year and decreased by 30 % in the second year . what is the population of the city at the end of second year ? | as per given data , p = 415600 , r 1 = 25 % incresed , r 2 = 30 % decreased population of the city at the end of the second year = p ( 1 + r 1 / 100 ) ( 1 - r 2 / 100 ) = 415600 ( 1 + 25 / 100 ) ( 1 - 30 / 100 ) = 363650 answer : c |
the length of a rectangle is increased by X% while its width is halved . what is the % change in area ?
If the answer to the question is 30 %', then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. none C. few D. most | A | the length of a rectangle is increased by 40 % while its width is halved . what is the % change in area ? | the original area is l * w the new area is 1.4 l * 0.5 w = 0.7 * l * w = l * w - 0.3 * l * w the area decreased by 30 % . the answer is b . |
a vendor bought toffees at 6 for a rupee . how many for a rupee must he sell to gain X% ?
If the answer to the question is 15 / 2, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. moderate amount C. some D. all | B | a vendor bought toffees at 6 for a rupee . how many for a rupee must he sell to gain 30 % ? | c . p . of 6 toffees = re . 1 s . p . of 6 toffees = 180 % of re . 1 = rs . 9 / 5 for rs . 9 / 5 , toffees sold = 6 . for re . 1 , toffees sold = 9 x 5 / 6 = 15 / 2 . answer e |
70 is increased by X% . find the final number .
If the answer to the question is 105, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. few D. none | B | 70 is increased by 50 % . find the final number . | "final number = initial number + 50 % ( original number ) = 70 + 50 % ( 70 ) = 70 + 35 = 105 . answer c" |
maths , physics and chemistry books are stored on a library shelf that can accommodate 25 books . currently , X% of the shelf spots remain empty . there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books . among all the books , 12 books are soft cover and the remaining are hard - cover . if there are a total of 7 hard - cover books among the maths and physics books . what is the probability q , that a book selected at random is either a hard cover book or a chemistry book ?
If the answer to the question is 9 / 20, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. all C. some D. tiny amount | A | maths , physics and chemistry books are stored on a library shelf that can accommodate 25 books . currently , 20 % of the shelf spots remain empty . there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books . among all the books , 12 books are soft cover and the remaining are hard - cover . if there are a total of 7 hard - cover books among the maths and physics books . what is the probability q , that a book selected at random is either a hard cover book or a chemistry book ? | first phase of this problem requires you to determine how many mathematics and chemistry books are even on the shelf . to do so , you have the equations : m + p + c = 20 ( since 4 / 5 of the 25 spots are full of books ) m = 2 p p = 4 + c from that , you can use substitution to get everything down to one variable . c = p - 4 m = 2 p p = p then ( p - 4 ) + 2 p + p = 20 , so 4 p = 24 and p = 6 . that means that there are 12 math , 6 physics , and 2 chemistry books on the shelf . with those numbers , you also know that there are 8 total hardcovers , 1 of which is chemistry . so if your goal is to get either a hardcover or a chemistry , there are 9 ways towin - either one of the 7 hardcovers that are n ' t chemistry or the two chemistry books . so out of the 20 total , q = 9 provide the desired outcome , making the answer e . |
the cost price of 40 articles is the same as the selling price of x articles . if the profit is X% , what is x ?
If the answer to the question is 32, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. none D. few | B | the cost price of 40 articles is the same as the selling price of x articles . if the profit is 25 % , what is x ? | "let the cost price = y the cost price of 40 articles = 40 y the selling price of x articles = 1.25 y * x 1.25 y * x = 40 y x = 40 / 1.25 = 32 the answer is d ." |
the interest on a certain deposit at X% p . a . is rs . 202.50 in one year . how much will the additional interest in one year be on the same deposit at 5 % p . a ?
If the answer to the question is rs . 22.50, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. most C. tiny amount D. few | C | the interest on a certain deposit at 4.5 % p . a . is rs . 202.50 in one year . how much will the additional interest in one year be on the same deposit at 5 % p . a ? | "solution s . i = rs . 202.50 , r = 4.5 % , t = 1 year principal = rs ( 100 * 202.50 / 4.5 * 1 ) = rs . 4500 now p = rs . 4500 , r = 5 % , t = 1 year s . i = ( 4500 * 5 * 1 / 100 ) = rs . 225 different in interest = rs . ( 225 - 202.50 ) = rs . 22.50 answer b" |
the interest on a certain deposit at 4.X% p . a . is rs . 202.50 in one year . how much will the additional interest in one year be on the same deposit at 5 % p . a ?
If the answer to the question is rs . 22.50, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. few D. tiny amount | C | the interest on a certain deposit at 4.5 % p . a . is rs . 202.50 in one year . how much will the additional interest in one year be on the same deposit at 5 % p . a ? | "solution s . i = rs . 202.50 , r = 4.5 % , t = 1 year principal = rs ( 100 * 202.50 / 4.5 * 1 ) = rs . 4500 now p = rs . 4500 , r = 5 % , t = 1 year s . i = ( 4500 * 5 * 1 / 100 ) = rs . 225 different in interest = rs . ( 225 - 202.50 ) = rs . 22.50 answer b" |
the maitre ' d at an expensive manhattan restaurant has noticed that X% of the couples order dessert and coffee . however , 20 % of the couples who order dessert do n ' t order coffee . what is the probability t that the next couple the maitre ' d seats will not order dessert ?
If the answer to the question is 25 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. none D. most | D | the maitre ' d at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee . however , 20 % of the couples who order dessert do n ' t order coffee . what is the probability t that the next couple the maitre ' d seats will not order dessert ? | "could you use a venn diagram and just go with the number 100 . 60 people order dessert and coffee . . . which is the union of d and c . t = 2 / 10 of d are n ' t in d u c = so 8 / 10 of d are in duc which means = 60 = 8 / 10 d . so d in total = 75 , and 15 d ' s are n ' t in d union c . which means 25 people are in c only + neither . b 25 %" |
the maitre ' d at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee . however , X% of the couples who order dessert do n ' t order coffee . what is the probability t that the next couple the maitre ' d seats will not order dessert ?
If the answer to the question is 25 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. most C. all D. few | A | the maitre ' d at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee . however , 20 % of the couples who order dessert do n ' t order coffee . what is the probability t that the next couple the maitre ' d seats will not order dessert ? | "could you use a venn diagram and just go with the number 100 . 60 people order dessert and coffee . . . which is the union of d and c . t = 2 / 10 of d are n ' t in d u c = so 8 / 10 of d are in duc which means = 60 = 8 / 10 d . so d in total = 75 , and 15 d ' s are n ' t in d union c . which means 25 people are in c only + neither . b 25 %" |
i sold a book at a profit of X% . had i sold it for $ 110 more , 15 % would have been gained . find the cost price ?
If the answer to the question is $ 2200, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. small amount D. few | D | i sold a book at a profit of 10 % . had i sold it for $ 110 more , 15 % would have been gained . find the cost price ? | 115 % of cost - 110 % of cost = $ 110 5 % of cost = $ 110 cost = 110 * 100 / 5 = $ 2200 answer is b |
i sold a book at a profit of 10 % . had i sold it for $ 110 more , X% would have been gained . find the cost price ?
If the answer to the question is $ 2200, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. none C. moderate amount D. small amount | D | i sold a book at a profit of 10 % . had i sold it for $ 110 more , 15 % would have been gained . find the cost price ? | 115 % of cost - 110 % of cost = $ 110 5 % of cost = $ 110 cost = 110 * 100 / 5 = $ 2200 answer is b |
X% of the population of a village is 36000 . the total population of the village is ?
If the answer to the question is 40000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. most D. none | A | 90 % of the population of a village is 36000 . the total population of the village is ? | "x * ( 90 / 100 ) = 36000 x = 400 * 100 x = 40000 answer : e" |
a retailer buys 80 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of X% , what is the profit % ?
If the answer to the question is 120, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. small amount D. all | A | a retailer buys 80 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ? | "let the market price of each pen be $ 1 then , cost price of 80 pens = $ 36 selling price of 80 pens = 99 % of $ 80 = $ 79.20 profit % = ( ( 43.20 * 100 ) / 36 ) % = 120 % answer e ) 120" |
an error X% in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :
If the answer to the question is 2.01, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. moderate amount C. all D. small amount | A | an error 1 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is : | "explanation : 100 cm is read as 101 cm . a 1 = ( 100 × 100 ) cm 2 = 10000 and a 2 = ( 101 × 101 ) cm 2 = 10609 ( a 2 - a 1 ) = 10201 - 10000 = 201 = > 201 / 10000 * 100 = 2.01 answer : a" |
george went to a fruit market with certain amount of money . with this money he can buy either 40 oranges or 40 mangoes . he retains X% of the money for taxi fare and buys 20 mangoes . how many oranges can he buy ?
If the answer to the question is 25, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. some D. none | B | george went to a fruit market with certain amount of money . with this money he can buy either 40 oranges or 40 mangoes . he retains 10 % of the money for taxi fare and buys 20 mangoes . how many oranges can he buy ? | "let the amount of money be 200 let cost of 1 orange be 4 let cost of 1 mango be 4 he decides to retain 10 % of 200 = 20 for taxi fare , so he is left with 180 he buys 20 mangoes ( @ 4 ) so he spends 80 money left is 100 ( 180 - 80 ) no of oranges he can buy = 100 / 4 = > 25 so , george can buy 25 oranges . a" |
the present population of a town is 1240 . population increase rate is X% p . a . find the population of town after 1 years ?
If the answer to the question is 1290, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. some C. none D. most | A | the present population of a town is 1240 . population increase rate is 4 % p . a . find the population of town after 1 years ? | "p = 1240 r = 4 % required population of town = p * ( 1 + r / 100 ) ^ t = 1240 * ( 1 + 4 / 100 ) = 1240 * ( 26 / 25 ) = 1290 ( approximately ) answer is e" |
a merchant marks goods up by X% and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 35 % . what % discount did the merchant offer ?
If the answer to the question is 25 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. all C. moderate amount D. tiny amount | B | a merchant marks goods up by 80 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 35 % . what % discount did the merchant offer ? | "let p be the original price of the goods and let x be the rate after the markup . ( 1.8 p ) * x = 1.35 p x = 1.35 / 1.8 = 0.75 which is a discount of 25 % . the answer is b ." |
a merchant marks goods up by 80 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is X% . what % discount did the merchant offer ?
If the answer to the question is 25 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. all C. small amount D. moderate amount | D | a merchant marks goods up by 80 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 35 % . what % discount did the merchant offer ? | "let p be the original price of the goods and let x be the rate after the markup . ( 1.8 p ) * x = 1.35 p x = 1.35 / 1.8 = 0.75 which is a discount of 25 % . the answer is b ." |
heinz produces tomato puree by boiling tomato juice . the tomato puree has only X% water while the tomato juice has 90 % water . how many litres of tomato puree will be obtained from 20 litres of tomato juice ?
If the answer to the question is 2.5 litres, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. tiny amount C. none D. small amount | D | heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many litres of tomato puree will be obtained from 20 litres of tomato juice ? | "tomato juice has 90 % water and 10 % tomato tomato puree has 20 % water and 80 % tomato so 20 liter of tomato juice has 20 * 90 / 100 = 18 liters of water and 2 liters of tomato . as tomato puree has 80 % content of tomato , so 2 liters of tomato from 20 liter juice corresponds to 80 % so tomato purees that can be obtained = 100 * 2 / 80 = 2.5 answer : c" |
heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has X% water . how many litres of tomato puree will be obtained from 20 litres of tomato juice ?
If the answer to the question is 2.5 litres, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. most C. moderate amount D. all | D | heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many litres of tomato puree will be obtained from 20 litres of tomato juice ? | "tomato juice has 90 % water and 10 % tomato tomato puree has 20 % water and 80 % tomato so 20 liter of tomato juice has 20 * 90 / 100 = 18 liters of water and 2 liters of tomato . as tomato puree has 80 % content of tomato , so 2 liters of tomato from 20 liter juice corresponds to 80 % so tomato purees that can be obtained = 100 * 2 / 80 = 2.5 answer : c" |
if a speaks the truth X% of the times , b speaks the truth 80 % of the times . what is the probability that at least one will tell the truth
If the answer to the question is 0.12, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. all D. moderate amount | D | if a speaks the truth 40 % of the times , b speaks the truth 80 % of the times . what is the probability that at least one will tell the truth | "probability of a speaks truth p ( a ) = 4 / 10 ; false = 6 / 10 probability of b speaks truth p ( b ) = 8 / 10 ; false = 2 / 10 . for given qtn ans = 1 - ( neither of them tell truth ) . because a & b are independent events = 1 - [ ( 6 / 10 ) * ( 2 / 10 ) ] = 1 - 12 / 100 = 1 - 0.88 = 0.12 answer : b" |
if a speaks the truth 40 % of the times , b speaks the truth X% of the times . what is the probability that at least one will tell the truth
If the answer to the question is 0.12, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. all C. moderate amount D. few | B | if a speaks the truth 40 % of the times , b speaks the truth 80 % of the times . what is the probability that at least one will tell the truth | "probability of a speaks truth p ( a ) = 4 / 10 ; false = 6 / 10 probability of b speaks truth p ( b ) = 8 / 10 ; false = 2 / 10 . for given qtn ans = 1 - ( neither of them tell truth ) . because a & b are independent events = 1 - [ ( 6 / 10 ) * ( 2 / 10 ) ] = 1 - 12 / 100 = 1 - 0.88 = 0.12 answer : b" |
the cost price of 20 articles is the same as the selling price of x articles . if the profit is X% , then the value of x is :
If the answer to the question is 16, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. some C. most D. small amount | B | the cost price of 20 articles is the same as the selling price of x articles . if the profit is 25 % , then the value of x is : | "explanation : let the cost price of 1 article be z . so , the cost price of 20 article = 20 z - - - - - - - - - - - - - - - - - - - - - - - - - ( 1 ) selling price of 20 articles = 20 z + 25 % of 20 z = 25 z = > selling price of 1 article = 25 z / 20 = ( 5 / 4 ) * z = > selling price of x articles = ( 5 / 4 ) * z * x - - - - - - - - - - - - - - - - - - - - - - - - - ( 2 ) given that selling price ( s . p . ) of x articles = cost price ( c . p . ) of 20 articles = > ( 5 / 4 ) * z * x = 20 z = > x = 16 answer : b" |
at what price must an article costing rs . 47.50 be marked in order that after deducting X% from the list price . it may be sold at a profit of 25 % on the cost price ?
If the answer to the question is 74.2, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. none C. few D. all | A | at what price must an article costing rs . 47.50 be marked in order that after deducting 20 % from the list price . it may be sold at a profit of 25 % on the cost price ? | cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 80 / 100 ) = 59.375 mp = 74.2 answer : d |
at what price must an article costing rs . 47.50 be marked in order that after deducting 20 % from the list price . it may be sold at a profit of X% on the cost price ?
If the answer to the question is 74.2, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. tiny amount C. moderate amount D. some | D | at what price must an article costing rs . 47.50 be marked in order that after deducting 20 % from the list price . it may be sold at a profit of 25 % on the cost price ? | cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 80 / 100 ) = 59.375 mp = 74.2 answer : d |
a sells a bicycle to b and makes a profit of X% . b sells the same bicycle to c at a profit of 50 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .
If the answer to the question is 120, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. most D. moderate amount | A | a sells a bicycle to b and makes a profit of 25 % . b sells the same bicycle to c at a profit of 50 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a . | explanation : let cp be 100 a sells at 25 % profit so sp = 125 b sells at 50 % profit = 125 x ( 1 + 50 / 100 ) = 187.5 cp - - - sp 100 - - - 187.5 x - - - 225 cp = 225 x 100 / 187.5 = 120 answer : e |
a sells a bicycle to b and makes a profit of 25 % . b sells the same bicycle to c at a profit of X% . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .
If the answer to the question is 120, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. small amount D. moderate amount | D | a sells a bicycle to b and makes a profit of 25 % . b sells the same bicycle to c at a profit of 50 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a . | explanation : let cp be 100 a sells at 25 % profit so sp = 125 b sells at 50 % profit = 125 x ( 1 + 50 / 100 ) = 187.5 cp - - - sp 100 - - - 187.5 x - - - 225 cp = 225 x 100 / 187.5 = 120 answer : e |
a shopkeeper has 280 kg of apples . he sells X% of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total .
If the answer to the question is 35 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. all C. most D. none | B | a shopkeeper has 280 kg of apples . he sells 85 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 85 x 20 % + 60 x 30 % = 85 this profit will remain same for any total quantity unless the % of products remains the same . hence ' e ' is the answer" |
a shopkeeper has 280 kg of apples . he sells 85 % of these at X% profit and remaining 60 % at 30 % profit . find his % profit on total .
If the answer to the question is 35 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. tiny amount C. all D. small amount | D | a shopkeeper has 280 kg of apples . he sells 85 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 85 x 20 % + 60 x 30 % = 85 this profit will remain same for any total quantity unless the % of products remains the same . hence ' e ' is the answer" |
a shopkeeper has 280 kg of apples . he sells 85 % of these at 20 % profit and remaining X% at 30 % profit . find his % profit on total .
If the answer to the question is 35 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. small amount C. most D. few | C | a shopkeeper has 280 kg of apples . he sells 85 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 85 x 20 % + 60 x 30 % = 85 this profit will remain same for any total quantity unless the % of products remains the same . hence ' e ' is the answer" |
a shopkeeper has 280 kg of apples . he sells 85 % of these at 20 % profit and remaining 60 % at X% profit . find his % profit on total .
If the answer to the question is 35 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. moderate amount C. all D. most | B | a shopkeeper has 280 kg of apples . he sells 85 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 85 x 20 % + 60 x 30 % = 85 this profit will remain same for any total quantity unless the % of products remains the same . hence ' e ' is the answer" |
a group of 7 teenagers recently visited the japanese restaurant . the total bill for the meal , including X% gratuity , came to $ 840 . on average , how much did the meal of each individual cost before gratuity ?
If the answer to the question is $ 10, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. none C. small amount D. moderate amount | C | a group of 7 teenagers recently visited the japanese restaurant . the total bill for the meal , including 20 % gratuity , came to $ 840 . on average , how much did the meal of each individual cost before gratuity ? | 7 teenagers - so total 7 people the bill $ 840 includes 20 % gratuity . . . so the actual cost of dinner was $ 700 now , the cost per person will be $ 700 / 7 which is $ 10 option d |
a shopkeeper sold an article offering a discount of X% and earned a profit of 32 % . what would have been the percentage of profit earned if no discount was offered ?
If the answer to the question is 37.5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. all C. moderate amount D. none | A | a shopkeeper sold an article offering a discount of 4 % and earned a profit of 32 % . what would have been the percentage of profit earned if no discount was offered ? | let c . p . be rs . 100 . then , s . p . = rs . 132 let marked price be rs . x . then , 96 / 100 x = 132 x = 13200 / 96 = rs . 137.5 now , s . p . = rs . 137.5 , c . p . = rs . 100 profit % = 37.5 % . answer : e |
a shopkeeper sold an article offering a discount of 4 % and earned a profit of X% . what would have been the percentage of profit earned if no discount was offered ?
If the answer to the question is 37.5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. most C. all D. some | A | a shopkeeper sold an article offering a discount of 4 % and earned a profit of 32 % . what would have been the percentage of profit earned if no discount was offered ? | let c . p . be rs . 100 . then , s . p . = rs . 132 let marked price be rs . x . then , 96 / 100 x = 132 x = 13200 / 96 = rs . 137.5 now , s . p . = rs . 137.5 , c . p . = rs . 100 profit % = 37.5 % . answer : e |
arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make X% profit ?
If the answer to the question is 14.49, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. none C. tiny amount D. small amount | D | arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 15 % profit ? | "c . p . of 50 kg wheat = ( 30 * 11.50 + 20 * 14.25 ) = rs . 630 . s . p . of 50 kg wheat = 115 % of rs . 630 = 115 / 100 * 630 = rs . 724.5 s . p . per kg = 724.5 / 50 = 14.49 a" |
carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken . the bank charges him a quarterly compound rate of X% . what is the approximate interest he pays annually ?
If the answer to the question is 3500, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. most D. small amount | B | carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken . the bank charges him a quarterly compound rate of 8 % . what is the approximate interest he pays annually ? | "an easy way too attempt this is by approximation : for the first quarter , he pays 8 % of 10,000 which is $ 800 . so for the four quarters in the year , he will approximately play 800 * 4 = 3200 over the entire year . because of compound interest it will be more than 3200 . approx . option d is correct . answer : d" |
a patient is given exactly 750 milliliters of a mixture of two medications daily . medication a contains X% pain killer and medication b contains 20 % pain killer . if the patient receives exactly 215 milliliters of pain killer daily , how many milliliters of medication b are in the mixture ?
If the answer to the question is 425, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. few C. moderate amount D. all | C | a patient is given exactly 750 milliliters of a mixture of two medications daily . medication a contains 40 % pain killer and medication b contains 20 % pain killer . if the patient receives exactly 215 milliliters of pain killer daily , how many milliliters of medication b are in the mixture ? | let there be a milliliters of medication a and b milliliters of medication b a + b = 750 - - 1 medication a contains 40 % pain killer and medication b contains 20 % pain killer . ( 40 / 100 ) * a + ( 20 / 100 ) * b = 215 = > ( 2 / 5 ) * a + ( 1 / 5 ) * b = 215 multiplying by 5 , we get 2 a + b = 1075 - - 2 equation 2 - equation 1 , we get a = 325 b = 425 answer d |
a patient is given exactly 750 milliliters of a mixture of two medications daily . medication a contains 40 % pain killer and medication b contains X% pain killer . if the patient receives exactly 215 milliliters of pain killer daily , how many milliliters of medication b are in the mixture ?
If the answer to the question is 425, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. small amount C. some D. all | B | a patient is given exactly 750 milliliters of a mixture of two medications daily . medication a contains 40 % pain killer and medication b contains 20 % pain killer . if the patient receives exactly 215 milliliters of pain killer daily , how many milliliters of medication b are in the mixture ? | let there be a milliliters of medication a and b milliliters of medication b a + b = 750 - - 1 medication a contains 40 % pain killer and medication b contains 20 % pain killer . ( 40 / 100 ) * a + ( 20 / 100 ) * b = 215 = > ( 2 / 5 ) * a + ( 1 / 5 ) * b = 215 multiplying by 5 , we get 2 a + b = 1075 - - 2 equation 2 - equation 1 , we get a = 325 b = 425 answer d |
find the principle on a certain sum of money at X% per annum for 3 1 / 5 years if the amount being rs . 1160 ?
If the answer to the question is rs . 1000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. few C. some D. moderate amount | B | find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 1160 ? | "explanation : 1160 = p [ 1 + ( 5 * 16 / 5 ) / 100 ] p = 1000 answer : option a" |
you enter a weight loss challenge game and manage to lose X% of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?
If the answer to the question is 10.24 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. tiny amount D. some | B | you enter a weight loss challenge game and manage to lose 12 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ? | "( 100 % - 12 % ) * ( 100 % + 2 % ) = 0.88 * 1.02 = 10.24 % the weigh in records your weight loss at 10.24 % ! the answer is a" |
you enter a weight loss challenge game and manage to lose 1X% of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?
If the answer to the question is 10.24 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. none C. tiny amount D. all | C | you enter a weight loss challenge game and manage to lose 12 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ? | "( 100 % - 12 % ) * ( 100 % + 2 % ) = 0.88 * 1.02 = 10.24 % the weigh in records your weight loss at 10.24 % ! the answer is a" |
last year a certain bond price with a face value of 5000 yielded X% of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?
If the answer to the question is 7692, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. most C. some D. few | D | last year a certain bond price with a face value of 5000 yielded 10 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ? | "interest = 0.08 * 5000 = 0.065 * selling price - - > selling price = 0.1 * 5000 / 0.065 - - > selling price = ~ 7692 answer : a ." |
on my sister ' s birthday , she was 126 cm in height , having grown X% since the year before . how tall was she the previous year ?
If the answer to the question is 120 cm, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. small amount D. all | B | on my sister ' s birthday , she was 126 cm in height , having grown 5 % since the year before . how tall was she the previous year ? | let the previous year ' s height be x . 1.05 x = 126 x = 120 the answer is b . |
the list price of an article is rs . 70 . a customer pays rs . 59.22 for it . he was given two successive discounts , one of them being X% . the other discount is ?
If the answer to the question is 6 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. most C. some D. none | A | the list price of an article is rs . 70 . a customer pays rs . 59.22 for it . he was given two successive discounts , one of them being 10 % . the other discount is ? | "option e explanation : 70 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 59.22 x = 6 %" |
a person borrows rs . 5000 for 2 years at X% p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .
If the answer to the question is 100 rs, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. few C. moderate amount D. most | A | a person borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year . | "gain in 2 years = [ ( 5000 * 6 * 2 ) / 100 ] - [ ( 5000 * 4 * 2 ) / 100 ] 600 - 400 = 200 gain in 1 year = ( 200 / 2 ) = 100 rs answer : a" |
how many liters of water must be added to 18 liters of milk and water containing X% water to make it 70 % water ?
If the answer to the question is 36, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. none C. few D. moderate amount | C | how many liters of water must be added to 18 liters of milk and water containing 10 % water to make it 70 % water ? | "by rule of alligation : 70 % - 10 % = 60 % 100 % - 70 % = 30 % quantity of pure water : quantity of the mixture = 6 : 3 there are 18 liters of mixture , so we need to add 36 liters of pure water . the answer is c ." |
how many liters of water must be added to 18 liters of milk and water containing 10 % water to make it X% water ?
If the answer to the question is 36, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. most D. tiny amount | C | how many liters of water must be added to 18 liters of milk and water containing 10 % water to make it 70 % water ? | "by rule of alligation : 70 % - 10 % = 60 % 100 % - 70 % = 30 % quantity of pure water : quantity of the mixture = 6 : 3 there are 18 liters of mixture , so we need to add 36 liters of pure water . the answer is c ." |
a feed store sells two varieties of birdseed : brand a , which is X% millet and 60 % sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand b ?
If the answer to the question is 40 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. moderate amount C. none D. few | B | a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand b ? | "yes there is a simple method : consider the following method brand a : 40 % millet and 60 % sunflower brand b : 65 % millet and 35 % safflower mix : 50 % millet here the weighted average is 50 % , now brand a has 40 % millet , which is 10 % less than the weighted average of mix = - 0.10 a - - - - - - - - - - - - - - - i similarly , brand b has 65 % millet , which is 15 % more than the weighted average of mix = + 0.15 b - - - - - - - - - - - - ii now , both brand a and brand b are combined to give a 50 % mix containing millet , so equate i and ii implies , 0.10 a = 0.15 b therefore a / b = 0.15 / 0.10 = 3 / 2 a : b : ( a + b ) = 3 : 2 : ( 3 + 2 ) = 3 : 2 : 5 we have to find , percent of the mix is brand b i . e . b : ( a + b ) = 2 : 5 = ( 2 / 5 ) * 100 = 40 % here is a pictorial representation : brand a = 40 % - - - - - - - - - - - - - - - - - - - - - - - - 10 % or 0.10 below average , a times - - - - - - - - - - - - - - - - - total below = - 0.10 a - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - average = 50 % or 0.50 brand b = 65 % - - - - - - - - - - - - - - - - - - - - - - - - - - 15 % or 0.15 above average , b times - - - - - - - - - - - - - - - - - total above = + 0.15 b since the amount below the average has to equal the average above the average ; therefore , 0.10 a = 0.15 b a / b = 3 / 2 a : b : total = 3 : 2 : 5 therefore b / total = 2 : 5 = 40 % answer : a" |
a feed store sells two varieties of birdseed : brand a , which is 40 % millet and X% sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand b ?
If the answer to the question is 40 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. none C. moderate amount D. most | D | a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand b ? | "yes there is a simple method : consider the following method brand a : 40 % millet and 60 % sunflower brand b : 65 % millet and 35 % safflower mix : 50 % millet here the weighted average is 50 % , now brand a has 40 % millet , which is 10 % less than the weighted average of mix = - 0.10 a - - - - - - - - - - - - - - - i similarly , brand b has 65 % millet , which is 15 % more than the weighted average of mix = + 0.15 b - - - - - - - - - - - - ii now , both brand a and brand b are combined to give a 50 % mix containing millet , so equate i and ii implies , 0.10 a = 0.15 b therefore a / b = 0.15 / 0.10 = 3 / 2 a : b : ( a + b ) = 3 : 2 : ( 3 + 2 ) = 3 : 2 : 5 we have to find , percent of the mix is brand b i . e . b : ( a + b ) = 2 : 5 = ( 2 / 5 ) * 100 = 40 % here is a pictorial representation : brand a = 40 % - - - - - - - - - - - - - - - - - - - - - - - - 10 % or 0.10 below average , a times - - - - - - - - - - - - - - - - - total below = - 0.10 a - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - average = 50 % or 0.50 brand b = 65 % - - - - - - - - - - - - - - - - - - - - - - - - - - 15 % or 0.15 above average , b times - - - - - - - - - - - - - - - - - total above = + 0.15 b since the amount below the average has to equal the average above the average ; therefore , 0.10 a = 0.15 b a / b = 3 / 2 a : b : total = 3 : 2 : 5 therefore b / total = 2 : 5 = 40 % answer : a" |
a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is X% millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand b ?
If the answer to the question is 40 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. most C. all D. small amount | B | a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand b ? | "yes there is a simple method : consider the following method brand a : 40 % millet and 60 % sunflower brand b : 65 % millet and 35 % safflower mix : 50 % millet here the weighted average is 50 % , now brand a has 40 % millet , which is 10 % less than the weighted average of mix = - 0.10 a - - - - - - - - - - - - - - - i similarly , brand b has 65 % millet , which is 15 % more than the weighted average of mix = + 0.15 b - - - - - - - - - - - - ii now , both brand a and brand b are combined to give a 50 % mix containing millet , so equate i and ii implies , 0.10 a = 0.15 b therefore a / b = 0.15 / 0.10 = 3 / 2 a : b : ( a + b ) = 3 : 2 : ( 3 + 2 ) = 3 : 2 : 5 we have to find , percent of the mix is brand b i . e . b : ( a + b ) = 2 : 5 = ( 2 / 5 ) * 100 = 40 % here is a pictorial representation : brand a = 40 % - - - - - - - - - - - - - - - - - - - - - - - - 10 % or 0.10 below average , a times - - - - - - - - - - - - - - - - - total below = - 0.10 a - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - average = 50 % or 0.50 brand b = 65 % - - - - - - - - - - - - - - - - - - - - - - - - - - 15 % or 0.15 above average , b times - - - - - - - - - - - - - - - - - total above = + 0.15 b since the amount below the average has to equal the average above the average ; therefore , 0.10 a = 0.15 b a / b = 3 / 2 a : b : total = 3 : 2 : 5 therefore b / total = 2 : 5 = 40 % answer : a" |
a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is 65 % millet and X% safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand b ?
If the answer to the question is 40 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. few C. tiny amount D. moderate amount | D | a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand b ? | "yes there is a simple method : consider the following method brand a : 40 % millet and 60 % sunflower brand b : 65 % millet and 35 % safflower mix : 50 % millet here the weighted average is 50 % , now brand a has 40 % millet , which is 10 % less than the weighted average of mix = - 0.10 a - - - - - - - - - - - - - - - i similarly , brand b has 65 % millet , which is 15 % more than the weighted average of mix = + 0.15 b - - - - - - - - - - - - ii now , both brand a and brand b are combined to give a 50 % mix containing millet , so equate i and ii implies , 0.10 a = 0.15 b therefore a / b = 0.15 / 0.10 = 3 / 2 a : b : ( a + b ) = 3 : 2 : ( 3 + 2 ) = 3 : 2 : 5 we have to find , percent of the mix is brand b i . e . b : ( a + b ) = 2 : 5 = ( 2 / 5 ) * 100 = 40 % here is a pictorial representation : brand a = 40 % - - - - - - - - - - - - - - - - - - - - - - - - 10 % or 0.10 below average , a times - - - - - - - - - - - - - - - - - total below = - 0.10 a - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - average = 50 % or 0.50 brand b = 65 % - - - - - - - - - - - - - - - - - - - - - - - - - - 15 % or 0.15 above average , b times - - - - - - - - - - - - - - - - - total above = + 0.15 b since the amount below the average has to equal the average above the average ; therefore , 0.10 a = 0.15 b a / b = 3 / 2 a : b : total = 3 : 2 : 5 therefore b / total = 2 : 5 = 40 % answer : a" |
a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is X% millet , what percent of the mix is brand b ?
If the answer to the question is 40 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. few C. none D. moderate amount | D | a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand b ? | "yes there is a simple method : consider the following method brand a : 40 % millet and 60 % sunflower brand b : 65 % millet and 35 % safflower mix : 50 % millet here the weighted average is 50 % , now brand a has 40 % millet , which is 10 % less than the weighted average of mix = - 0.10 a - - - - - - - - - - - - - - - i similarly , brand b has 65 % millet , which is 15 % more than the weighted average of mix = + 0.15 b - - - - - - - - - - - - ii now , both brand a and brand b are combined to give a 50 % mix containing millet , so equate i and ii implies , 0.10 a = 0.15 b therefore a / b = 0.15 / 0.10 = 3 / 2 a : b : ( a + b ) = 3 : 2 : ( 3 + 2 ) = 3 : 2 : 5 we have to find , percent of the mix is brand b i . e . b : ( a + b ) = 2 : 5 = ( 2 / 5 ) * 100 = 40 % here is a pictorial representation : brand a = 40 % - - - - - - - - - - - - - - - - - - - - - - - - 10 % or 0.10 below average , a times - - - - - - - - - - - - - - - - - total below = - 0.10 a - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - average = 50 % or 0.50 brand b = 65 % - - - - - - - - - - - - - - - - - - - - - - - - - - 15 % or 0.15 above average , b times - - - - - - - - - - - - - - - - - total above = + 0.15 b since the amount below the average has to equal the average above the average ; therefore , 0.10 a = 0.15 b a / b = 3 / 2 a : b : total = 3 : 2 : 5 therefore b / total = 2 : 5 = 40 % answer : a" |
selling an kite for rs . 30 , a shop keeper gains X% . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?
If the answer to the question is 3.5 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. moderate amount C. small amount D. some | C | selling an kite for rs . 30 , a shop keeper gains 15 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ? | "explanation : marked price = rs . 30 c . p . = 100 / 115 * 30 = rs . 26.08 sale price = 90 % of rs . 30 = rs . 27 required gain % = 0.92 / 26.08 * 100 = 3.5 % . answer : a" |
selling an kite for rs . 30 , a shop keeper gains 15 % . during a clearance sale , the shopkeeper allows a discount of X% on the marked price . his gain percent during the sale is ?
If the answer to the question is 3.5 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. moderate amount C. few D. most | C | selling an kite for rs . 30 , a shop keeper gains 15 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ? | "explanation : marked price = rs . 30 c . p . = 100 / 115 * 30 = rs . 26.08 sale price = 90 % of rs . 30 = rs . 27 required gain % = 0.92 / 26.08 * 100 = 3.5 % . answer : a" |
a part of certain sum of money is invested at X% per annum and the rest at 20 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ?
If the answer to the question is 5 : 4, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. small amount C. few D. most | B | a part of certain sum of money is invested at 16 % per annum and the rest at 20 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ? | "20 : 16 = 5 : 4 answer : e" |
a part of certain sum of money is invested at 16 % per annum and the rest at X% per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ?
If the answer to the question is 5 : 4, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. moderate amount D. small amount | D | a part of certain sum of money is invested at 16 % per annum and the rest at 20 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ? | "20 : 16 = 5 : 4 answer : e" |
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