instruction stringlengths 211 775 | response stringclasses 4
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a man bought an article and sold it at a gain of X% . if he had bought it at 5 % less and sold it for re 5 less , he would have made a profit of 10 % . the c . p . of the article was
If the answer to the question is 1000, 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. most | A | a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 5 less , he would have made a profit of 10 % . the c . p . of the article was | "explanation : let original cost price is x its selling price = ( 105 / 100 ) * x = 21 x / 20 new cost price = ( 95 / 100 ) * x = 19 x / 20 new selling price = ( 110 / 100 ) * ( 19 x / 20 ) = 209 x / 200 [ ( 21 x / 20 ) - ( 209 x / 200 ) ] = 1 = > x = 1000 answer : e ) rs 1000" |
a man bought an article and sold it at a gain of 5 % . if he had bought it at X% less and sold it for re 5 less , he would have made a profit of 10 % . the c . p . of the article was
If the answer to the question is 1000, 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. few D. moderate amount | C | a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 5 less , he would have made a profit of 10 % . the c . p . of the article was | "explanation : let original cost price is x its selling price = ( 105 / 100 ) * x = 21 x / 20 new cost price = ( 95 / 100 ) * x = 19 x / 20 new selling price = ( 110 / 100 ) * ( 19 x / 20 ) = 209 x / 200 [ ( 21 x / 20 ) - ( 209 x / 200 ) ] = 1 = > x = 1000 answer : e ) rs 1000" |
a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 5 less , he would have made a profit of X% . the c . p . of the article was
If the answer to the question is 1000, 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. all | B | a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 5 less , he would have made a profit of 10 % . the c . p . of the article was | "explanation : let original cost price is x its selling price = ( 105 / 100 ) * x = 21 x / 20 new cost price = ( 95 / 100 ) * x = 19 x / 20 new selling price = ( 110 / 100 ) * ( 19 x / 20 ) = 209 x / 200 [ ( 21 x / 20 ) - ( 209 x / 200 ) ] = 1 = > x = 1000 answer : e ) rs 1000" |
the difference between a number and its 3 - fourth is 100 . what is X% of that number ?
If the answer to the question is 100, 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. some D. most | C | the difference between a number and its 3 - fourth is 100 . what is 25 % of that number ? | explanation : solution : let the number be x . then , x - 3 / 4 x = 100 = > x / 4 = 100 = > x = 400 . 25 % of x = 25 % of 400 = 25 / 100 * 400 = 100 . answer : b |
the length and breadth of a rectangle is increased by X% and 6 % respectively . what is the increase in the area ?
If the answer to the question is 9.18, 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. few D. moderate amount | B | the length and breadth of a rectangle is increased by 3 % and 6 % respectively . what is the increase in the area ? | "100 * 100 = 10000 103 * 106 = 10918 - - - - - - - - - - - 918 10000 - - - - - - - 918 100 - - - - - - - - - - 9.18 ans a" |
the length and breadth of a rectangle is increased by 3 % and X% respectively . what is the increase in the area ?
If the answer to the question is 9.18, 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. moderate amount | B | the length and breadth of a rectangle is increased by 3 % and 6 % respectively . what is the increase in the area ? | "100 * 100 = 10000 103 * 106 = 10918 - - - - - - - - - - - 918 10000 - - - - - - - 918 100 - - - - - - - - - - 9.18 ans a" |
a sells a bicycle to b and makes a profit of X% . b sells the same bicycle to c at a profit of 25 % . 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 112.5, 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. none D. most | D | a sells a bicycle to b and makes a profit of 60 % . b sells the same bicycle to c at a profit of 25 % . 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 60 % profit so sp = 160 b sells at 25 % profit = 160 x ( 1 + 25 / 100 ) = 200 cp sp 100 - - - 200 x - - - 225 cp = 225 x 100 / 200 = 112.5 answer : e" |
a sells a bicycle to b and makes a profit of 60 % . 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 112.5, 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. tiny amount | B | a sells a bicycle to b and makes a profit of 60 % . b sells the same bicycle to c at a profit of 25 % . 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 60 % profit so sp = 160 b sells at 25 % profit = 160 x ( 1 + 25 / 100 ) = 200 cp sp 100 - - - 200 x - - - 225 cp = 225 x 100 / 200 = 112.5 answer : e" |
subtracting X% of a from a is equivalent to multiplying a by how much ?
If the answer to the question is 0.97, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. tiny amount C. none D. some | B | subtracting 3 % of a from a is equivalent to multiplying a by how much ? | "answer let a - 3 % of a = ab . ⇒ ( 97 x a ) / 100 = ab ∴ b = 0.97 correct option : a" |
if a population of women in a town is X% of men . what is the population of men as a % of population of women ?
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. none C. most D. all | A | if a population of women in a town is 50 % of men . what is the population of men as a % of population of women ? | "we ' re told that the number of women in a town is equal to 50 % of the number of men in that town . if . . . . men = 10 women = 5 we ' re asked for the number of men , as a percentage of the number of women . m / w = 10 / 5 = 2 = 200 % answer is a" |
robert ' s salary was increased by X% and subsequently decreased by 10 % . how much percentage does he gain ?
If the answer to the question is 15 %, 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. none D. some | B | robert ' s salary was increased by 50 % and subsequently decreased by 10 % . how much percentage does he gain ? | let original salary be $ 100 increased salary = 10 % of ( 150 % of $ 100 ) = ( 10 / 100 ) * ( 150 / 100 ) * 100 = $ 15 increase = 15 % correct option is a |
robert ' s salary was increased by 50 % and subsequently decreased by X% . how much percentage does he gain ?
If the answer to the question is 15 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. tiny amount D. some | B | robert ' s salary was increased by 50 % and subsequently decreased by 10 % . how much percentage does he gain ? | let original salary be $ 100 increased salary = 10 % of ( 150 % of $ 100 ) = ( 10 / 100 ) * ( 150 / 100 ) * 100 = $ 15 increase = 15 % correct option is a |
what is the difference between the c . i . on rs . 9000 for 1 1 / 2 years at X% per annum compounded yearly and half - yearly ?
If the answer to the question is s . 3.67, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. tiny amount C. none D. small amount | B | what is the difference between the c . i . on rs . 9000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ? | c . i . when interest is compounded yearly = [ 9000 * ( 1 + 4 / 100 ) * ( 1 + ( 1 / 2 * 4 ) / 100 ] = 9000 * 26 / 25 * 51 / 50 = rs . 9547.2 c . i . when interest is compounded half - yearly = [ 9000 * ( 1 + 2 / 100 ) 2 ] = ( 9000 * 51 / 50 * 51 / 50 * 51 / 50 ) = rs . 9550.87 difference = ( 9550.87 - 9547.2 ) = rs . 3.67 . answer : c |
what will be the compound interest on a sum of rs . 20,000 after 3 years at the rate of X% p . a . ?
If the answer to the question is rs . 8098.56, 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. most D. few | D | what will be the compound interest on a sum of rs . 20,000 after 3 years at the rate of 12 % p . a . ? | "amount = [ 20000 * ( 1 + 12 / 100 ) ^ 3 ] = 20000 * 28 / 25 * 28 / 25 * 28 / 25 = rs . 28098.56 c . i . = ( 28098.56 - 20000 ) = rs . 8098.56 answer : a" |
the height of a triangle is decreased by X% and its base increased by 10 % . its area will
If the answer to the question is increase by 4.5 %', 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. few D. all | C | the height of a triangle is decreased by 5 % and its base increased by 10 % . its area will | explanation : let the initial height be 100 and the base be 200 units . â ˆ ´ area = 1 / 2 x 100 x 200 = 10000 sq units now , height = 95 units and base = 220 units â ˆ ´ new area = 1 / 2 x 95 x 220 = 10450 â ˆ ´ area is increased by ( 10450 - 10000 ) / 10000 x 10 = 4.5 % answer : option c |
the height of a triangle is decreased by 5 % and its base increased by X% . its area will
If the answer to the question is increase by 4.5 %', 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. few D. most | C | the height of a triangle is decreased by 5 % and its base increased by 10 % . its area will | explanation : let the initial height be 100 and the base be 200 units . â ˆ ´ area = 1 / 2 x 100 x 200 = 10000 sq units now , height = 95 units and base = 220 units â ˆ ´ new area = 1 / 2 x 95 x 220 = 10450 â ˆ ´ area is increased by ( 10450 - 10000 ) / 10000 x 10 = 4.5 % answer : option c |
a man buys a cycle for rs . 1400 and sells it at a loss of X% . what is the selling price of the cycle ?
If the answer to the question is none, 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. few D. moderate amount | C | a man buys a cycle for rs . 1400 and sells it at a loss of 10 % . what is the selling price of the cycle ? | "solution s . p = 90 % of rs . 1400 = rs . ( 90 / 100 × 1400 ) rs . 1260 . answer ce" |
the number of sailors on a ship is X% more than the number of officers . the ratio of sailors to officers would be
If the answer to the question is 37 : 20, 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. all D. small amount | C | the number of sailors on a ship is 85 % more than the number of officers . the ratio of sailors to officers would be | "sailor = 1.85 * officer sailor / officer = 1.85 / 1 = 185 / 100 = 37 / 20 answer will be a" |
in an examination , 300 students appeared . out of these students ; X% got first division , 54 % got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed .
If the answer to the question is 51, 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. some | D | in an examination , 300 students appeared . out of these students ; 29 % got first division , 54 % got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed . | "the number of students with first division = 29 % of 300 = 29 / 100 × 300 = 8700 / 100 = 87 and , the number of students with second division = 54 % of 300 = 54 / 100 × 300 = 16200 / 100 = 162 therefore , the number of students who just passed = 300 – ( 87 + 162 ) = 51 answer : a" |
in an examination , 300 students appeared . out of these students ; 29 % got first division , X% got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed .
If the answer to the question is 51, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. few C. most D. small amount | C | in an examination , 300 students appeared . out of these students ; 29 % got first division , 54 % got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed . | "the number of students with first division = 29 % of 300 = 29 / 100 × 300 = 8700 / 100 = 87 and , the number of students with second division = 54 % of 300 = 54 / 100 × 300 = 16200 / 100 = 162 therefore , the number of students who just passed = 300 – ( 87 + 162 ) = 51 answer : a" |
if x , y is X% , 25 % greater than z then how much percentage is x smaller than y ?
If the answer to the question is 3 11 / 13 %, 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. few D. none | B | if x , y is 20 % , 25 % greater than z then how much percentage is x smaller than y ? | explanation : x = 125 % y = 130 % z = 100 % x - y / y * 100 = 5 / 130 * 100 = 500 / 130 % = 3 11 / 13 % smaller than y answer : option c |
if x , y is 20 % , X% greater than z then how much percentage is x smaller than y ?
If the answer to the question is 3 11 / 13 %, 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. small amount D. few | A | if x , y is 20 % , 25 % greater than z then how much percentage is x smaller than y ? | explanation : x = 125 % y = 130 % z = 100 % x - y / y * 100 = 5 / 130 * 100 = 500 / 130 % = 3 11 / 13 % smaller than y answer : option c |
the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is X% . if the shopkeeper has made a profit of 14 % , then the cost price of the article is :
If the answer to the question is 540, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. tiny amount C. few D. none | C | the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 14 % , then the cost price of the article is : | "110 % of s . p . = 616 s . p . = ( 616 * 100 ) / 110 = rs . 560 c . p = ( 110 * 560 ) / 114 = rs . 540 answer : option b" |
the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of X% , then the cost price of the article is :
If the answer to the question is 540, 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. most D. none | B | the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 14 % , then the cost price of the article is : | "110 % of s . p . = 616 s . p . = ( 616 * 100 ) / 110 = rs . 560 c . p = ( 110 * 560 ) / 114 = rs . 540 answer : option b" |
a present value of a machine is $ 800 . its value depletion rate is X% per annum then find the machine value after 2 years ?
If the answer to the question is $ 648, 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. few D. small amount | C | a present value of a machine is $ 800 . its value depletion rate is 10 % per annum then find the machine value after 2 years ? | "p = $ 800 r = 10 % t = 2 years machine value after 2 years = p [ ( 1 - r / 100 ) ^ t ] = 800 * 9 / 10 * 9 / 10 = $ 648 answer is e" |
the effective annual rate of interest corresponding to a nominal rate of X% per annum payable half - yearly is ?
If the answer to the question is 16.64 %, 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. most D. tiny amount | A | the effective annual rate of interest corresponding to a nominal rate of 16 % per annum payable half - yearly is ? | "amount of rs . 100 for 1 year when compounded half - yearly = [ 100 * ( 1 + 8 / 100 ) 2 ] = rs . 116.64 effective rate = ( 116.64 - 100 ) = 116.64 % answer : a" |
the price of lunch for 13 people was $ 207 including a X% gratuity for service . what was the average price per person , excluding the gratuity ?
If the answer to the question is 13.85, 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. some D. tiny amount | B | the price of lunch for 13 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ? | "clearly c is the answer i used poe here lets consider option ( c ) 13 * 13.85 = 180 now 180 ( 115 / 100 ) = 207 = > possible answer imo c" |
a shopkeeper sold an article at $ 1800 with X% profit . then find its cost price ?
If the answer to the question is $ 1500, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. most C. small amount D. moderate amount | C | a shopkeeper sold an article at $ 1800 with 20 % profit . then find its cost price ? | "cost price = selling price * 100 / ( 100 + profit ) c . p . = 1800 * 100 / 120 = $ 1500 answer is b" |
find the principle on a certain sum of money at X% per annum for 2 years if the amount being rs . 1120 ?
If the answer to the question is 1018, 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 | A | find the principle on a certain sum of money at 5 % per annum for 2 years if the amount being rs . 1120 ? | "1120 = p [ 1 + ( 5 * 2 ) / 100 ] p = 1018 answer : a" |
the percentage profit earned by selling an article for rs . 1320 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make X% profit ?
If the answer to the question is 1625, 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. none D. all | B | the percentage profit earned by selling an article for rs . 1320 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ? | "c . p . be rs . x . then , ( 1320 - x ) / x * 100 = ( x - 1280 ) / x * 100 1320 - x = x - 1280 2 x = 2600 = > x = 1300 required s . p . = 125 % of rs . 1300 = 125 / 100 * 1300 = rs . 1625 . anser d" |
40 is subtracted from X% of a number , the result is 50 . find the number ?
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. some B. most C. all D. tiny amount | B | 40 is subtracted from 60 % of a number , the result is 50 . find the number ? | "( 60 / 100 ) * x – 40 = 50 6 x = 900 x = 150 answer : a" |
after a storm deposits 120 billion gallons of water into the city reservoir , the reservoir is X% full . if the original contents of the reservoir totaled 220 billion gallons , the reservoir was approximately what percentage full before the storm ?
If the answer to the question is 55 %, 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. few | C | after a storm deposits 120 billion gallons of water into the city reservoir , the reservoir is 85 % full . if the original contents of the reservoir totaled 220 billion gallons , the reservoir was approximately what percentage full before the storm ? | "when the storm deposited 120 billion gallons , volume of water in the reservoir = 220 + 120 = 340 billion gallons if this is only 85 % of the capacity of the reservoir , the total capacity of the reservoir = 340 / 0.85 = 400 billion gallons therefore percentage of reservoir that was full before the storm = ( 220 / 400 ) * 100 = 55 % option c" |
X% people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 2907 , how much was it in the beginning ?
If the answer to the question is a ) 3800, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. all C. few D. tiny amount | C | 10 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 2907 , how much was it in the beginning ? | "x * ( 90 / 100 ) * ( 85 / 100 ) = 2907 x = 3800 answer : a" |
10 % people of a village in sri lanka died by bombardment , X% of the remainder left the village on account of fear . if now the population is reduced to 2907 , how much was it in the beginning ?
If the answer to the question is a ) 3800, 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 | C | 10 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 2907 , how much was it in the beginning ? | "x * ( 90 / 100 ) * ( 85 / 100 ) = 2907 x = 3800 answer : a" |
the population of a city increases by X% per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ?
If the answer to the question is 9.27 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. none C. all D. small amount | A | the population of a city increases by 4 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ? | "actual increase in population = 3 % let , earlier population = 100 then the population after 3 years = 100 ( 1 + 3 / 100 ) ^ 3 = 109.2727 ∴ required percentage = 9.27 % answer : b" |
the population of a city increases by 4 % per year but due to migration it decrease by X% per years . what will be the percentage increase in population in 3 years ?
If the answer to the question is 9.27 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. none C. some D. few | B | the population of a city increases by 4 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ? | "actual increase in population = 3 % let , earlier population = 100 then the population after 3 years = 100 ( 1 + 3 / 100 ) ^ 3 = 109.2727 ∴ required percentage = 9.27 % answer : b" |
$ 6,000 is deposited in a savings account that pays X% annual interest compounded semiannually . to the nearest dollar , how much is in the account at the end of the year ?
If the answer to the question is $ 6615.00, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. some C. tiny amount D. most | A | $ 6,000 is deposited in a savings account that pays 10 % annual interest compounded semiannually . to the nearest dollar , how much is in the account at the end of the year ? | "this is the case of semi - annual compoundingso , multiply time period by 2 and divide rate by 2 so , new time = 2 periods and new rate = 10 / 2 = 5 % now , ca = 6000 ( 1 + 5 / 100 ) ^ 2 = $ 6615.00 hence answer is b" |
a person spends X% of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is :
If the answer to the question is 8000, 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. few D. moderate amount | D | a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is : | "total expenditure = 40 + 25 + 15 + 5 = 85 % saving = ( 100 - 85 ) = 15 % 15 / 100 × salary = 1200 , salary = 8000 rs . answer : c ." |
a person spends 40 % of his salary on food , X% on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is :
If the answer to the question is 8000, 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. some | D | a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is : | "total expenditure = 40 + 25 + 15 + 5 = 85 % saving = ( 100 - 85 ) = 15 % 15 / 100 × salary = 1200 , salary = 8000 rs . answer : c ." |
a person spends 40 % of his salary on food , 25 % on house rent , X% on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is :
If the answer to the question is 8000, 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. some | A | a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is : | "total expenditure = 40 + 25 + 15 + 5 = 85 % saving = ( 100 - 85 ) = 15 % 15 / 100 × salary = 1200 , salary = 8000 rs . answer : c ." |
a person spends 40 % of his salary on food , 2X% on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is :
If the answer to the question is 8000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. tiny amount C. moderate amount D. few | D | a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is : | "total expenditure = 40 + 25 + 15 + 5 = 85 % saving = ( 100 - 85 ) = 15 % 15 / 100 × salary = 1200 , salary = 8000 rs . answer : c ." |
1 men takes 37 $ to eat a pizza in restaurant such that it have discount multiple of 4 if u eat more pizza . discount increase by multiple of 4 every pizza u eat . for 1 pizza X% off . for 2 pizza % off for 3 pizza 8 % off . pizza without discount is 10 $ . how much that man eats the pizza .
If the answer to the question is 3, 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. none D. moderate amount | C | 1 men takes 37 $ to eat a pizza in restaurant such that it have discount multiple of 4 if u eat more pizza . discount increase by multiple of 4 every pizza u eat . for 1 pizza 0 % off . for 2 pizza % off for 3 pizza 8 % off . pizza without discount is 10 $ . how much that man eats the pizza . | solution : b . for 1 pizza 10 $ . for 2 pizza 10 $ + 9.6 $ ( 4 % off ) = 19.6 , for 3 pizza 19.6 + 9.2 ( 8 % off ) = 28.8 , for 4 pizza 28.8 + 8.8 ( 12 % off ) = 37.6 . so he have 37 so he cant eat 4 th pizza . |
1 men takes 37 $ to eat a pizza in restaurant such that it have discount multiple of 4 if u eat more pizza . discount increase by multiple of 4 every pizza u eat . for 1 pizza 0 % off . for 2 pizza % off for 3 pizza X% off . pizza without discount is 10 $ . how much that man eats the pizza .
If the answer to the question is 3, 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. most D. tiny amount | A | 1 men takes 37 $ to eat a pizza in restaurant such that it have discount multiple of 4 if u eat more pizza . discount increase by multiple of 4 every pizza u eat . for 1 pizza 0 % off . for 2 pizza % off for 3 pizza 8 % off . pizza without discount is 10 $ . how much that man eats the pizza . | solution : b . for 1 pizza 10 $ . for 2 pizza 10 $ + 9.6 $ ( 4 % off ) = 19.6 , for 3 pizza 19.6 + 9.2 ( 8 % off ) = 28.8 , for 4 pizza 28.8 + 8.8 ( 12 % off ) = 37.6 . so he have 37 so he cant eat 4 th pizza . |
a X% stock yields 8 % . the market value of the stock is :
If the answer to the question is rs . 112.50, 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. few D. none | C | a 9 % stock yields 8 % . the market value of the stock is : | "solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 9 , investment = rs . ( 100 / 8 x 9 ) = rs . 112.50 ∴ market value of rs . 100 stock = rs . 112.50 answer c" |
a 9 % stock yields X% . the market value of the stock is :
If the answer to the question is rs . 112.50, 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. few D. none | C | a 9 % stock yields 8 % . the market value of the stock is : | "solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 9 , investment = rs . ( 100 / 8 x 9 ) = rs . 112.50 ∴ market value of rs . 100 stock = rs . 112.50 answer c" |
find compound interest on $ 4000 at X% per annum for 2 years 4 months , compounded annually .
If the answer to the question is 1554.5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. tiny amount C. small amount D. moderate amount | C | find compound interest on $ 4000 at 15 % per annum for 2 years 4 months , compounded annually . | "time = 2 years 4 months = 2 ( 4 / 12 ) years = 2 ( 1 / 3 ) years . amount = $ [ 4000 x ( 1 + ( 15 / 100 ) ) 2 x ( 1 + ( ( 1 / 3 ) * 15 ) / 100 ) ] = $ [ 4000 * ( 23 / 20 ) * ( 23 / 20 ) * ( 21 / 20 ) ] = $ 5554.50 . : . c . i . = rs . ( 5554.50 - 4000 ) = $ 1554.50 answer a ." |
if x gets X% more than y and y gets 20 % more than z , the share of z out of rs . 1110 will be :
If the answer to the question is rs . 300, 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. tiny amount | A | if x gets 25 % more than y and y gets 20 % more than z , the share of z out of rs . 1110 will be : | "z share = z , y = 1.2 z x = 1.25 ã — 1.2 z , x + y + z = 111 ( 1.25 ã — 1.2 + 1.2 + 1 ) z = 1110 3.7 z = 1110 , z = 300 answer : . a" |
if x gets 25 % more than y and y gets X% more than z , the share of z out of rs . 1110 will be :
If the answer to the question is rs . 300, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. some D. small amount | D | if x gets 25 % more than y and y gets 20 % more than z , the share of z out of rs . 1110 will be : | "z share = z , y = 1.2 z x = 1.25 ã — 1.2 z , x + y + z = 111 ( 1.25 ã — 1.2 + 1.2 + 1 ) z = 1110 3.7 z = 1110 , z = 300 answer : . a" |
a 50 ml after - shave lotion at X% alcohol is mixed with 30 ml of pure water . what is the percentage of alcohol in the new solution ?
If the answer to the question is 18.75 %, 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. none D. few | A | a 50 ml after - shave lotion at 30 % alcohol is mixed with 30 ml of pure water . what is the percentage of alcohol in the new solution ? | the amount of the final mixture is given by 50 ml + 30 ml = 80 ml the amount of alcohol is equal to the amount of alcohol in pure water ( which is 0 ) plus the amount of alcohol in the 30 % solution . let x be the percentage of alcohol in the final solution . hence 0 + 30 % 50 ml = x ( 80 ) solve for x x = 0.1817 = 18.75 % answer c |
a shopkeeper labeled the price of his articles so as to earn a profit of X% on the cost price . he then sold the articles by offering a discount of 5 % on the labeled price . what is the actual percent profit earned in the deal ?
If the answer to the question is 33 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. none C. moderate amount D. some | C | a shopkeeper labeled the price of his articles so as to earn a profit of 40 % on the cost price . he then sold the articles by offering a discount of 5 % on the labeled price . what is the actual percent profit earned in the deal ? | "explanation : let the cp of the article = rs . 100 . then labeled price = rs . 140 . sp = rs . 140 - 5 % of 140 = rs . 140 - 7 = rs . 133 . gain = rs . 133 â € “ rs . 100 = rs . 33 therefore , gain / profit percent = 33 % . answer : option d" |
a shopkeeper labeled the price of his articles so as to earn a profit of 40 % on the cost price . he then sold the articles by offering a discount of X% on the labeled price . what is the actual percent profit earned in the deal ?
If the answer to the question is 33 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. some C. most D. tiny amount | A | a shopkeeper labeled the price of his articles so as to earn a profit of 40 % on the cost price . he then sold the articles by offering a discount of 5 % on the labeled price . what is the actual percent profit earned in the deal ? | "explanation : let the cp of the article = rs . 100 . then labeled price = rs . 140 . sp = rs . 140 - 5 % of 140 = rs . 140 - 7 = rs . 133 . gain = rs . 133 â € “ rs . 100 = rs . 33 therefore , gain / profit percent = 33 % . answer : option d" |
a shopkeeper sold an article offering a discount of X% and earned a profit of 22.55 % . what would have been the percentage of profit earned if no discount was offered ?
If the answer to the question is 29 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. few C. small amount D. tiny amount | B | a shopkeeper sold an article offering a discount of 5 % and earned a profit of 22.55 % . what would have been the percentage of profit earned if no discount was offered ? | "let c . p . be rs . 100 . then , s . p . = rs . 122.55 let marked price be rs . x . then , 95 / 100 x = 122.55 x = 12255 / 95 = rs . 129 now , s . p . = rs . 129 , c . p . = rs . 100 profit % = 29 % . answer : b" |
a shopkeeper sold an article offering a discount of 5 % 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 29 %, 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 | A | a shopkeeper sold an article offering a discount of 5 % and earned a profit of 22.55 % . what would have been the percentage of profit earned if no discount was offered ? | "let c . p . be rs . 100 . then , s . p . = rs . 122.55 let marked price be rs . x . then , 95 / 100 x = 122.55 x = 12255 / 95 = rs . 129 now , s . p . = rs . 129 , c . p . = rs . 100 profit % = 29 % . answer : b" |
in a certain candy store , X% of the customers are caught sampling the candy and are charged a small fine , but 5 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ?
If the answer to the question is 23 %, 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. few D. small amount | B | in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 5 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ? | "since 5 % of the customers who sample the candyare notcaught , then 88 % of the customers who sample the candyarecaught : { % of customers who sample candy } * 0.95 = 0.22 ; { % of customers who sample candy } = 0.231 . answer : b ." |
in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but X% of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ?
If the answer to the question is 23 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. small amount C. moderate amount D. few | D | in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 5 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ? | "since 5 % of the customers who sample the candyare notcaught , then 88 % of the customers who sample the candyarecaught : { % of customers who sample candy } * 0.95 = 0.22 ; { % of customers who sample candy } = 0.231 . answer : b ." |
bert and rebecca were looking at the price of a condominium . the price of the condominium was X% more than bert had in savings , and separately , the same price was also 60 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings .
If the answer to the question is 4 : 5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. most C. all D. moderate amount | C | bert and rebecca were looking at the price of a condominium . the price of the condominium was 100 % more than bert had in savings , and separately , the same price was also 60 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings . | "suppose bert had 100 so price becomes 200 , this 200 = 1.6 times r ' s saving . . so r ' s saving becomes 125 so required ratio is 100 : 125 = 4 : 5 answer : d" |
bert and rebecca were looking at the price of a condominium . the price of the condominium was 100 % more than bert had in savings , and separately , the same price was also X% more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings .
If the answer to the question is 4 : 5, 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. all | A | bert and rebecca were looking at the price of a condominium . the price of the condominium was 100 % more than bert had in savings , and separately , the same price was also 60 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings . | "suppose bert had 100 so price becomes 200 , this 200 = 1.6 times r ' s saving . . so r ' s saving becomes 125 so required ratio is 100 : 125 = 4 : 5 answer : d" |
a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a X% discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price r of the machine ?
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. most B. none C. all D. few | D | a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price r of the machine ? | "since the wholesale price was $ 90 and the profit was 20 % of the wholesale price ( [ . 2 ] [ 90 ] = $ 18 ) , the retail price would have to be above $ 108 , but not that much greater than that . let ' s start by testing answer c : $ 120 . . . . if . . . . . retail price r = $ 120 10 % discount off = $ 120 - ( . 1 ) ( 120 ) = 120 - 12 = 108 20 % profit on wholesale price = 90 + ( . 2 ) ( 90 ) = 90 + 18 = 108 these two numbers match , so this must be the answer ! final answer : [ reveal ] spoiler : c" |
a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to X% of the whole price , what is the retail price r of the machine ?
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. most B. tiny amount C. small amount D. moderate amount | C | a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price r of the machine ? | "since the wholesale price was $ 90 and the profit was 20 % of the wholesale price ( [ . 2 ] [ 90 ] = $ 18 ) , the retail price would have to be above $ 108 , but not that much greater than that . let ' s start by testing answer c : $ 120 . . . . if . . . . . retail price r = $ 120 10 % discount off = $ 120 - ( . 1 ) ( 120 ) = 120 - 12 = 108 20 % profit on wholesale price = 90 + ( . 2 ) ( 90 ) = 90 + 18 = 108 these two numbers match , so this must be the answer ! final answer : [ reveal ] spoiler : c" |
the ratio of boys to girls is 6 : X% of the boys and 40 % of girls take lunch in the canteen . what % of class takes lunch ?
If the answer to the question is 52 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. tiny amount C. none D. few | B | the ratio of boys to girls is 6 : 4.60 % of the boys and 40 % of girls take lunch in the canteen . what % of class takes lunch ? | let total no of students 100 , boy 60 and girl 40 , so lunch taken by boy and girl respectively 60 * 60 / 100 = 36 and 40 * 40 / 100 = 16 so total 52 students takes lunch out of 100 students . . so required % is 52 % answer : b |
the ratio of boys to girls is 6 : 4.60 % of the boys and X% of girls take lunch in the canteen . what % of class takes lunch ?
If the answer to the question is 52 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. all C. moderate amount D. some | C | the ratio of boys to girls is 6 : 4.60 % of the boys and 40 % of girls take lunch in the canteen . what % of class takes lunch ? | let total no of students 100 , boy 60 and girl 40 , so lunch taken by boy and girl respectively 60 * 60 / 100 = 36 and 40 * 40 / 100 = 16 so total 52 students takes lunch out of 100 students . . so required % is 52 % answer : b |
if X% of a number is 24 less than 50 % of that number , then the number is ?
If the answer to the question is 160, 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. most D. all | A | if 35 % of a number is 24 less than 50 % of that number , then the number is ? | explanation : let the number be n . then , 50 % of n - 35 % of n = 24 50 / 100 n - 35 / 100 n = 24 n = ( 24 x 100 ) / 15 = 160 . answer c |
if 35 % of a number is 24 less than X% of that number , then the number is ?
If the answer to the question is 160, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. none C. all D. moderate amount | D | if 35 % of a number is 24 less than 50 % of that number , then the number is ? | explanation : let the number be n . then , 50 % of n - 35 % of n = 24 50 / 100 n - 35 / 100 n = 24 n = ( 24 x 100 ) / 15 = 160 . answer c |
the banker â € ™ s gain on a sum due 3 years hence at X% per annum is rs . 180 . the banker â € ™ s discount is
If the answer to the question is rs . 680, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. tiny amount C. all D. few | D | the banker â € ™ s gain on a sum due 3 years hence at 12 % per annum is rs . 180 . the banker â € ™ s discount is | solution t . d = ( b . g x 100 / r x t ) = rs . ( 180 x 100 / 12 x 3 ) = rs . 500 . b . d = rs ( 500 + 180 ) = rs . 680 . answer d |
a furniture dealer purchased a desk for $ 100 and then set the selling price equal to the purchase price plus a markup that was X% of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?
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. none B. some C. tiny amount D. moderate amount | D | a furniture dealer purchased a desk for $ 100 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ? | "anyway , in this question , there is no discount but the mark up is given as 40 % of the selling price . so it is not 40 % of $ 100 but instead , 40 % of selling price which is obtained by adding mark up to $ 100 . so if selling price is s , 100 + 40 % of s = s or 100 = 0.6 s therefore s = 100 / 0.6 = s = profit = 100 / 0.6 - 100 which is calculated on cost price in % terms . so 40 / 100 * 100 = 40 % is profit . a" |
the difference between the value of a number increased by X% and the value of the original number decreased by 30 % is 22 . what is the original number ?
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. tiny amount C. some D. all | C | the difference between the value of a number increased by 25 % and the value of the original number decreased by 30 % is 22 . what is the original number ? | "let the original # be x then 1.25 x − 0.7 x = 22 - - > x = 40 answer : a ." |
the difference between the value of a number increased by 25 % and the value of the original number decreased by X% is 22 . what is the original number ?
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. small amount C. none D. most | A | the difference between the value of a number increased by 25 % and the value of the original number decreased by 30 % is 22 . what is the original number ? | "let the original # be x then 1.25 x − 0.7 x = 22 - - > x = 40 answer : a ." |
by selling 8 pens for a rupee a woman loses X% . how many for a rupee should he sell in order to gain 25 % ?
If the answer to the question is 5, 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. some | D | by selling 8 pens for a rupee a woman loses 25 % . how many for a rupee should he sell in order to gain 25 % ? | "d 75 % - - - 8 125 % - - - ? 75 / 125 * 8 = 5" |
by selling 8 pens for a rupee a woman loses 25 % . how many for a rupee should he sell in order to gain X% ?
If the answer to the question is 5, 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. few | B | by selling 8 pens for a rupee a woman loses 25 % . how many for a rupee should he sell in order to gain 25 % ? | "d 75 % - - - 8 125 % - - - ? 75 / 125 * 8 = 5" |
a person was asked to subtract X% of a number from the original but he subtracted 25 from the number . his answer was 25 more than correct one . what was the original number ?
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. some B. all C. none D. few | A | a person was asked to subtract 25 % of a number from the original but he subtracted 25 from the number . his answer was 25 more than correct one . what was the original number ? | 25 + 25 = 50 25 % - - - - - - 50 100 % - - - - - ? = > 200 answer : d |
indu gave bindu rs . 7500 on compound interest for 2 years at X% per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?
If the answer to the question is 12, 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. some D. all | B | indu gave bindu rs . 7500 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ? | "7500 = d ( 100 / 4 ) 2 d = 12 answer : e" |
indu gave bindu rs . 7500 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at X% per annum simple interest ?
If the answer to the question is 12, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. most C. small amount D. tiny amount | D | indu gave bindu rs . 7500 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ? | "7500 = d ( 100 / 4 ) 2 d = 12 answer : e" |
a shopkeeper sold an article at $ 1170 and gained a X% profit . what was the cost price ?
If the answer to the question is $ 975, 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. none D. all | B | a shopkeeper sold an article at $ 1170 and gained a 20 % profit . what was the cost price ? | "let x be the cost price . 1.2 x = 1170 x = 1170 / 1.2 = 975 the answer is b ." |
two kinds of vodka are mixed in the ratio 1 : 5 and 5 : 1 and they are sold fetching the profit X% and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of
If the answer to the question is 21 % 18 %, 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. few D. none | C | two kinds of vodka are mixed in the ratio 1 : 5 and 5 : 1 and they are sold fetching the profit 10 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of | "the profit on the first kind of vodka = x % ; the profit on the second kind of vodka = y % . when they are mixed in the ratio 1 : 2 ( total of 3 parts ) the average profit is 10 % : ( x + 2 y ) / 3 = 10 . when they are mixed in the ratio 2 : 1 ( total of 3 parts ) the average profit is 20 % : ( 2 x + y ) / 3 = 20 . solving gives : x = 30 % and y = 0 % . after the individual profit percent on them areincreased by 4 / 3 and 5 / 3 times respectively the profit becomes 40 % and 0 % , on the first and te second kinds of vodka , respectively . if they are mixed in equal ratio ( 1 : 1 ) , then the mixture will fetch the profit of ( 40 + 0 ) / 2 = 20 % . answer : c" |
two kinds of vodka are mixed in the ratio 1 : 5 and 5 : 1 and they are sold fetching the profit 10 % and X% respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of
If the answer to the question is 21 % 18 %, 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. few D. most | A | two kinds of vodka are mixed in the ratio 1 : 5 and 5 : 1 and they are sold fetching the profit 10 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of | "the profit on the first kind of vodka = x % ; the profit on the second kind of vodka = y % . when they are mixed in the ratio 1 : 2 ( total of 3 parts ) the average profit is 10 % : ( x + 2 y ) / 3 = 10 . when they are mixed in the ratio 2 : 1 ( total of 3 parts ) the average profit is 20 % : ( 2 x + y ) / 3 = 20 . solving gives : x = 30 % and y = 0 % . after the individual profit percent on them areincreased by 4 / 3 and 5 / 3 times respectively the profit becomes 40 % and 0 % , on the first and te second kinds of vodka , respectively . if they are mixed in equal ratio ( 1 : 1 ) , then the mixture will fetch the profit of ( 40 + 0 ) / 2 = 20 % . answer : c" |
the cash difference between the selling prices of an book at a profit of X% and 20 % is $ 3 . the ratio of the two selling prices is :
If the answer to the question is 14 : 15, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. all C. some D. tiny amount | A | the cash difference between the selling prices of an book at a profit of 12 % and 20 % is $ 3 . the ratio of the two selling prices is : | "let c . p . of the book be $ x . then , required ratio = 112 % of x / 120 % of x = 112 / 120 = 14 / 15 = 14 : 15 e" |
the cash difference between the selling prices of an book at a profit of 12 % and X% is $ 3 . the ratio of the two selling prices is :
If the answer to the question is 14 : 15, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. tiny amount C. moderate amount D. small amount | D | the cash difference between the selling prices of an book at a profit of 12 % and 20 % is $ 3 . the ratio of the two selling prices is : | "let c . p . of the book be $ x . then , required ratio = 112 % of x / 120 % of x = 112 / 120 = 14 / 15 = 14 : 15 e" |
a merchant gets a X% discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 6,500 meters of fabric ?
If the answer to the question is $ 12, 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. all D. tiny amount | A | a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 6,500 meters of fabric ? | "for first 2000 meters he does not get any discount . the price is 2 * 2000 = $ 4000 for next 1500 meters , he gets a 5 % discount . the price is 1.9 * 1500 = $ 2850 for the next 1500 meters , he gets a 7 % discount . the price is 1.86 * 3000 = $ 5580 the total price is $ 4000 + $ 2850 + $ 5580 = $ 12,430 the answer is b ." |
a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a X% discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 6,500 meters of fabric ?
If the answer to the question is $ 12, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. all D. small amount | B | a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 6,500 meters of fabric ? | "for first 2000 meters he does not get any discount . the price is 2 * 2000 = $ 4000 for next 1500 meters , he gets a 5 % discount . the price is 1.9 * 1500 = $ 2850 for the next 1500 meters , he gets a 7 % discount . the price is 1.86 * 3000 = $ 5580 the total price is $ 4000 + $ 2850 + $ 5580 = $ 12,430 the answer is b ." |
following an increase in prices , the price of a candy box was 20 pounds and the price of a can of soda was 6 pounds . if the price of a candy box was raised by X% , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ?
If the answer to the question is 20 ., then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. none D. tiny amount | B | following an increase in prices , the price of a candy box was 20 pounds and the price of a can of soda was 6 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ? | "price of candy before price increase = 20 / 1.25 = 16 price of soda before price increase = 6 / 1.5 = 4 total price = 16 + 4 = 20 b is the answer" |
following an increase in prices , the price of a candy box was 20 pounds and the price of a can of soda was 6 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by X% . what was the price of a box of candy plus a can of soda before prices were raised ?
If the answer to the question is 20 ., 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. moderate amount | D | following an increase in prices , the price of a candy box was 20 pounds and the price of a can of soda was 6 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ? | "price of candy before price increase = 20 / 1.25 = 16 price of soda before price increase = 6 / 1.5 = 4 total price = 16 + 4 = 20 b is the answer" |
a windmill is taking advantage of strong air currents in order to produce electrical energy . on a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw / h ( kilowatts per hour ) . on a stormy day a windmill produces X% more energy . how much kw / h can 3 windmills produce in two hours on a stormy day ?
If the answer to the question is 2880 ., 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. small amount | D | a windmill is taking advantage of strong air currents in order to produce electrical energy . on a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw / h ( kilowatts per hour ) . on a stormy day a windmill produces 20 % more energy . how much kw / h can 3 windmills produce in two hours on a stormy day ? | normal day = 400 kw / h stormy day = 400 * 1.2 = 480 kw / h 3 windmills for 2 hours on stormy day 480 * 3 * 2 = 2880 answer : a |
ramesh purchased a refrigerator for rs . 12500 after getting a discount of X% on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 18 % if no discount was offered ?
If the answer to the question is 18880, 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. small amount | D | ramesh purchased a refrigerator for rs . 12500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 18 % if no discount was offered ? | "price at which the tv set is bought = rs . 12,500 discount offered = 20 % marked price = 12500 * 100 / 80 = rs . 15625 the total amount spent on transport and installation = 125 + 250 = rs . 375 \ total price of tv set = 15625 + 375 = rs . 16000 the price at whichthe tv should be sold to get a profit of 18 % if no discount was offered = 16000 * 118 / 100 = rs . 18880 . answer : e" |
ramesh purchased a refrigerator for rs . 12500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be X% if no discount was offered ?
If the answer to the question is 18880, 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. small amount D. all | C | ramesh purchased a refrigerator for rs . 12500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 18 % if no discount was offered ? | "price at which the tv set is bought = rs . 12,500 discount offered = 20 % marked price = 12500 * 100 / 80 = rs . 15625 the total amount spent on transport and installation = 125 + 250 = rs . 375 \ total price of tv set = 15625 + 375 = rs . 16000 the price at whichthe tv should be sold to get a profit of 18 % if no discount was offered = 16000 * 118 / 100 = rs . 18880 . answer : e" |
a student needs X% of the marks on a test to pass the test . if the student gets 80 marks and fails the test by 100 marks , find the maximum marks set for the test .
If the answer to the question is 600, 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 | A | a student needs 30 % of the marks on a test to pass the test . if the student gets 80 marks and fails the test by 100 marks , find the maximum marks set for the test . | "30 % = 180 marks 1 % = 6 marks 100 % = 600 marks the answer is b ." |
an investment yields an interest payment of $ 228 each month . if the simple annual interest rate is X% , what is the amount of the investment ?
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. small amount B. some C. most D. few | D | an investment yields an interest payment of $ 228 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ? | "let the principal amount = p simple annual interest = 9 % simple monthly interest = ( 9 / 12 ) = ( 3 / 4 ) % ( 3 / 4 ) * ( p / 100 ) = 228 = > p = ( 228 * 4 * 10 ^ 2 ) / 3 = 76 * 4 * 10 ^ 2 = 304 * 10 ^ 2 answer b" |
on a certain road X% of the motorists exceed the posted speed limit and receive speeding tickets , but 24 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ?
If the answer to the question is 13.2 %, 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. none D. few | D | on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 24 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ? | "answer is b . this question is in the og and thus well explained by ets . those who exceed : x so x = 10 % + 0,24 x id est x = 13.2 %" |
on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but X% of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ?
If the answer to the question is 13.2 %, 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. some | D | on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 24 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ? | "answer is b . this question is in the og and thus well explained by ets . those who exceed : x so x = 10 % + 0,24 x id est x = 13.2 %" |
in how many years rs 100 will produce the same interest at X% as rs . 600 produce in 4 years at 10 %
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. most B. some C. few D. tiny amount | C | in how many years rs 100 will produce the same interest at 5 % as rs . 600 produce in 4 years at 10 % | "explanation : clue : firstly we need to calculate the si with prinical 600 , time 4 years and rate 10 % , it will be rs . 240 then we can get the time as time = ( 100 * 240 ) / ( 100 * 5 ) = 48 option e" |
in how many years rs 100 will produce the same interest at 5 % as rs . 600 produce in 4 years at 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. tiny amount B. all C. some D. few | D | in how many years rs 100 will produce the same interest at 5 % as rs . 600 produce in 4 years at 10 % | "explanation : clue : firstly we need to calculate the si with prinical 600 , time 4 years and rate 10 % , it will be rs . 240 then we can get the time as time = ( 100 * 240 ) / ( 100 * 5 ) = 48 option e" |
what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by X% ?
If the answer to the question is 44 %, 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. few D. some | A | what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 20 % ? | "the question is very easy . my logic is the following : a surface = 6 * a ^ 2 after 20 % increase a surface = 6 * ( ( 1.2 a ) ^ 2 ) = 6 * 1.44 * a ^ 2 the increase in the surface area = ( 6 * 1.44 * a ^ 2 - 6 * a ^ 2 ) / 6 * a ^ 2 = ( 6 * a ^ 2 ( 1.44 - 1 ) ) / ( 6 * a ^ 2 ) = 1.44 - 1 = 0.44 = 44 % answer : b" |
the difference between simple interest and compound interest on rs . 1400 for one year at X% per annum reckoned half - yearly is :
If the answer to the question is $ 989.9, 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. moderate amount | A | the difference between simple interest and compound interest on rs . 1400 for one year at 20 % per annum reckoned half - yearly is : | "s . i = [ ( 1400 * 20 * 1 ) / 100 ] = $ 280 . c . i = [ 1400 * ( 1 + ( 5 / 100 ) ^ 2 ) - 1400 ] = $ 1269.8 . difference = ( 1269.8 - 280 ) = $ 989.8 answer ( d )" |
working together at their respective constant rates , machine a and machine b can produce 1600 units in 8 hours . working alone , machine b would complete that same output in X% more time . if machine a were to work on its own for an 8 - hour shift , what percent of the 1600 unit total would it produce ?
If the answer to the question is 33, 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. none D. moderate amount | D | working together at their respective constant rates , machine a and machine b can produce 1600 units in 8 hours . working alone , machine b would complete that same output in 50 % more time . if machine a were to work on its own for an 8 - hour shift , what percent of the 1600 unit total would it produce ? | 1 / a + 1 / b = 1 / t 1 / a + 1 / 12 = 1 / 8 ( 50 % more of 8 is 12 ) 1 / a = 1 / 24 machine a can produce 1600 units in 24 hrs , so it can produce 1600 * 8 / 24 = 533.33 units is 8 hrs . 533.33 is 33.33 % of 1600 . b is the answer |
if price of t . v set is reduced by X% , then its sale increases by 80 % , find net effect on sale value
If the answer to the question is 44, 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. tiny amount D. some | B | if price of t . v set is reduced by 20 % , then its sale increases by 80 % , find net effect on sale value | "- a + b + ( ( - a ) ( b ) / 100 ) = - 20 + 80 + ( - 20 * 80 ) / 100 = - 20 + 80 - 16 = 44 answer : a" |
if price of t . v set is reduced by 20 % , then its sale increases by X% , find net effect on sale value
If the answer to the question is 44, 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. few | C | if price of t . v set is reduced by 20 % , then its sale increases by 80 % , find net effect on sale value | "- a + b + ( ( - a ) ( b ) / 100 ) = - 20 + 80 + ( - 20 * 80 ) / 100 = - 20 + 80 - 16 = 44 answer : a" |
the shopkeeper increased the price of a product by X% so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 76 % of the required amount . what is the net difference in the expenditure on that product ?
If the answer to the question is 5 %, 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. most D. all | A | the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 76 % of the required amount . what is the net difference in the expenditure on that product ? | quantity x rate = price 1 x 1 = 1 0.76 x 1.25 = 0.95 decrease in price = ( 0.05 / 1 ) × 100 = 5 % c ) |
the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only X% of the required amount . what is the net difference in the expenditure on that product ?
If the answer to the question is 5 %, 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. most D. moderate amount | C | the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 76 % of the required amount . what is the net difference in the expenditure on that product ? | quantity x rate = price 1 x 1 = 1 0.76 x 1.25 = 0.95 decrease in price = ( 0.05 / 1 ) × 100 = 5 % c ) |
a trader bought a car at X% discount on its original price . he sold it at a 70 % increase on the price he bought it . what percent of profit did he make on the original price ?
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. moderate amount C. all D. most | A | a trader bought a car at 20 % discount on its original price . he sold it at a 70 % increase on the price he bought it . what percent of profit did he make on the original price ? | "original price = 100 cp = 80 s = 80 * ( 170 / 100 ) = 136 100 - 136 = 36 % answer : e" |
a trader bought a car at 20 % discount on its original price . he sold it at a X% increase on the price he bought it . what percent of profit did he make on the original price ?
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. moderate amount B. all C. small amount D. most | D | a trader bought a car at 20 % discount on its original price . he sold it at a 70 % increase on the price he bought it . what percent of profit did he make on the original price ? | "original price = 100 cp = 80 s = 80 * ( 170 / 100 ) = 136 100 - 136 = 36 % answer : e" |
what annual payment will discharge a debt of rs . 1030 due in 2 years at the rate of X% compound interest ?
If the answer to the question is 553.94, 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. few D. none | C | what annual payment will discharge a debt of rs . 1030 due in 2 years at the rate of 5 % compound interest ? | "explanation : let each installment be rs . x . then , x / ( 1 + 5 / 100 ) + x / ( 1 + 5 / 100 ) 2 = 1030 820 x + 1030 * 441 x = 553.94 so , value of each installment = rs . 553.94 answer : option a" |
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