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what is the compound interest on rs : 40,000 for 4 months at the rate of X% per annum
If the answer to the question is 670.85, 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 | what is the compound interest on rs : 40,000 for 4 months at the rate of 5 % per annum | "it is monthly compound rate = 5 / 12 % per month 40000 * ( 1 + 5 / 1200 ) ^ 4 - 40000 = 670.85 answer : a" |
a fair price shopkeeper takes X% profit on his goods . he lost 70 % goods during theft . his loss percent is :
If the answer to the question is 67 %, 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. none D. few | D | a fair price shopkeeper takes 10 % profit on his goods . he lost 70 % 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 = 30 . s . p . of each item = rs . 1.10 total sale = 1.10 * 30 = rs . 33 hence , loss % = 67 / 100 * 100 = 67 % answer : d" |
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 67 %, 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. small amount | B | a fair price shopkeeper takes 10 % profit on his goods . he lost 70 % 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 = 30 . s . p . of each item = rs . 1.10 total sale = 1.10 * 30 = rs . 33 hence , loss % = 67 / 100 * 100 = 67 % answer : d" |
a person borrows rs . 7000 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 140 rs, 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. small amount | B | a person borrows rs . 7000 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 = [ ( 7000 * 6 * 2 ) / 100 ] - [ ( 7000 * 4 * 2 ) / 100 ] 840 - 560 = 280 gain in 1 year = ( 280 / 2 ) = 140 rs answer : c" |
two tests had the same maximum mark . the pass percentages in the first and the second test were X% and 45 % respectively . a candidate scored 240 marks in the second test and failed by 57 marks in that test . find the pass mark in the first test ?
If the answer to the question is 264, 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 | two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 240 marks in the second test and failed by 57 marks in that test . find the pass mark in the first test ? | "let the maximum mark in each test be m . the candidate failed by 57 marks in the second test . pass mark in the second test = 240 + 57 = 297 45 / 100 m = 297 pass mark in the first test = 40 / 100 m = 40 / 45 * 297 = 264 . answer : d" |
two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and X% respectively . a candidate scored 240 marks in the second test and failed by 57 marks in that test . find the pass mark in the first test ?
If the answer to the question is 264, 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. moderate amount D. tiny amount | C | two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 240 marks in the second test and failed by 57 marks in that test . find the pass mark in the first test ? | "let the maximum mark in each test be m . the candidate failed by 57 marks in the second test . pass mark in the second test = 240 + 57 = 297 45 / 100 m = 297 pass mark in the first test = 40 / 100 m = 40 / 45 * 297 = 264 . answer : d" |
rebecca ' s annual income is $ 15 , and jimmy ' s annual income is $ 18 . by how much must rebecca ' s annual income increase so that it constitutes X% of rebecca and jimmy ' s combined income ?
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. tiny amount B. moderate amount C. small amount D. all | B | rebecca ' s annual income is $ 15 , and jimmy ' s annual income is $ 18 . by how much must rebecca ' s annual income increase so that it constitutes 50 % of rebecca and jimmy ' s combined income ? | "total rebecca = x + 15 ; total = x + 20 + 18 x + 15 / x + 33 = 50 / 100 therefore x = 3 d" |
a survey of n people in the town of eros found that X% of them preferred brand a . another survey of 125 people in the town of angie found that 60 % preferred brand a . in total , 55 % of all the people surveyed together preferred brand a . what is the total number of people surveyed ?
If the answer to the question is 250, 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 | a survey of n people in the town of eros found that 50 % of them preferred brand a . another survey of 125 people in the town of angie found that 60 % preferred brand a . in total , 55 % of all the people surveyed together preferred brand a . what is the total number of people surveyed ? | it is simply a weighted average question . since the given average of 50 % and 60 % is 55 % ( right in the middle ) , it means the number of people surveyed in eros ( n ) is same as the number of people surveyed in angie . so n = 125 total = 125 + 125 = 250 answer ( e ) |
a survey of n people in the town of eros found that 50 % of them preferred brand a . another survey of 125 people in the town of angie found that X% preferred brand a . in total , 55 % of all the people surveyed together preferred brand a . what is the total number of people surveyed ?
If the answer to the question is 250, 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. some | C | a survey of n people in the town of eros found that 50 % of them preferred brand a . another survey of 125 people in the town of angie found that 60 % preferred brand a . in total , 55 % of all the people surveyed together preferred brand a . what is the total number of people surveyed ? | it is simply a weighted average question . since the given average of 50 % and 60 % is 55 % ( right in the middle ) , it means the number of people surveyed in eros ( n ) is same as the number of people surveyed in angie . so n = 125 total = 125 + 125 = 250 answer ( e ) |
a survey of n people in the town of eros found that 50 % of them preferred brand a . another survey of 125 people in the town of angie found that 60 % preferred brand a . in total , X% of all the people surveyed together preferred brand a . what is the total number of people surveyed ?
If the answer to the question is 250, 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 | A | a survey of n people in the town of eros found that 50 % of them preferred brand a . another survey of 125 people in the town of angie found that 60 % preferred brand a . in total , 55 % of all the people surveyed together preferred brand a . what is the total number of people surveyed ? | it is simply a weighted average question . since the given average of 50 % and 60 % is 55 % ( right in the middle ) , it means the number of people surveyed in eros ( n ) is same as the number of people surveyed in angie . so n = 125 total = 125 + 125 = 250 answer ( e ) |
each month a retailer sells 100 identical items . on each item he makes a profit of $ 60 that constitutes X% of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ?
If the answer to the question is 223, 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 | A | each month a retailer sells 100 identical items . on each item he makes a profit of $ 60 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ? | "for this question , we ' ll need the following formula : sell price = cost + profit we ' re told that the profit on 1 item is $ 20 and that this represents 10 % of the cost : sell price = cost + $ 60 sell price = $ 600 + $ 60 thus , the sell price is $ 660 for each item . selling all 100 items gives the retailer . . . 100 ( $ 60 ) = $ 2,000 of profit if the retailer offers a 5 % discount on the sell price , then the equation changes . . . 5 % ( 660 ) = $ 33 discount $ 627 = $ 600 + $ 27 now , the retailer makes a profit of just $ 27 per item sold . to earn $ 2,000 in profit , the retailer must sell . . . . $ 27 ( x ) = $ 2,000 x = 2,000 / 27 x = 222.222222 items you ' ll notice that this is not among the answer choices . . . . 221 and 223 are . selling 221 items would get us 9 ( 221 ) = $ 1989 which is not enough money . to get back to at least $ 2,000 , we need to sell 223 items . final answer : d" |
each month a retailer sells 100 identical items . on each item he makes a profit of $ 60 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a X% discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ?
If the answer to the question is 223, 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. none | A | each month a retailer sells 100 identical items . on each item he makes a profit of $ 60 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ? | "for this question , we ' ll need the following formula : sell price = cost + profit we ' re told that the profit on 1 item is $ 20 and that this represents 10 % of the cost : sell price = cost + $ 60 sell price = $ 600 + $ 60 thus , the sell price is $ 660 for each item . selling all 100 items gives the retailer . . . 100 ( $ 60 ) = $ 2,000 of profit if the retailer offers a 5 % discount on the sell price , then the equation changes . . . 5 % ( 660 ) = $ 33 discount $ 627 = $ 600 + $ 27 now , the retailer makes a profit of just $ 27 per item sold . to earn $ 2,000 in profit , the retailer must sell . . . . $ 27 ( x ) = $ 2,000 x = 2,000 / 27 x = 222.222222 items you ' ll notice that this is not among the answer choices . . . . 221 and 223 are . selling 221 items would get us 9 ( 221 ) = $ 1989 which is not enough money . to get back to at least $ 2,000 , we need to sell 223 items . final answer : d" |
country x imposes a two - tiered tax on imported cars : the first tier imposes a tax of X% of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 15 % . if ron imported a $ 30000 imported car and ended up paying $ 5500 in taxes , what is the first tier ' s price level ?
If the answer to the question is $ 10000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. tiny amount D. small amount | B | country x imposes a two - tiered tax on imported cars : the first tier imposes a tax of 25 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 15 % . if ron imported a $ 30000 imported car and ended up paying $ 5500 in taxes , what is the first tier ' s price level ? | let t be the tier price , p be total price = 30000 per the given conditions : 0.25 t + 0.15 ( p - t ) = 5500 0.25 t + 0.15 * 30000 - 0.15 t = 5500 0.10 t + 4500 = 5500 0.10 t = 5500 - 4500 = 1000 t = 1000 / 0.10 = 10000 answer a |
country x imposes a two - tiered tax on imported cars : the first tier imposes a tax of 25 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is X% . if ron imported a $ 30000 imported car and ended up paying $ 5500 in taxes , what is the first tier ' s price level ?
If the answer to the question is $ 10000, 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. most | C | country x imposes a two - tiered tax on imported cars : the first tier imposes a tax of 25 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 15 % . if ron imported a $ 30000 imported car and ended up paying $ 5500 in taxes , what is the first tier ' s price level ? | let t be the tier price , p be total price = 30000 per the given conditions : 0.25 t + 0.15 ( p - t ) = 5500 0.25 t + 0.15 * 30000 - 0.15 t = 5500 0.10 t + 4500 = 5500 0.10 t = 5500 - 4500 = 1000 t = 1000 / 0.10 = 10000 answer a |
in the faculty of reverse - engineering , 230 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately X% of the total ?
If the answer to the question is 649 ., 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. all | D | in the faculty of reverse - engineering , 230 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ? | "answer is d : 649 solution : total number of students studying both are 423 + 230 - 134 = 519 ( subtracting the 134 since they were included in the both the other numbers already ) . so 80 % of total is 519 , so 100 % is approx . 649 ." |
in a certain company , a third of the workers do not have a retirement plan . X% of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 160 of the workers of that company are men , how many of the workers are women ?
If the answer to the question is 140, 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. most D. small amount | D | in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 160 of the workers of that company are men , how many of the workers are women ? | "set up equation : x = total number of workers 160 = 0,4 * 2 / 3 * x + 0,8 * 1 / 3 * x 160 = 16 / 30 x x = 300 300 - 160 = 140 answer e" |
in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and X% of the workers who do have a retirement plan are men . if 160 of the workers of that company are men , how many of the workers are women ?
If the answer to the question is 140, 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. all D. tiny amount | A | in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 160 of the workers of that company are men , how many of the workers are women ? | "set up equation : x = total number of workers 160 = 0,4 * 2 / 3 * x + 0,8 * 1 / 3 * x 160 = 16 / 30 x x = 300 300 - 160 = 140 answer e" |
when 1 / X% of 8,000 is subtracted from 1 / 10 of 8,000 , the difference is
If the answer to the question is 798, 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. few | C | when 1 / 20 % of 8,000 is subtracted from 1 / 10 of 8,000 , the difference is | 1 / 20 % of 8000 = 4 1 / 10 of 8000 = 800 800 - 2 = 798 ans : d |
X% of the employees of a company are men . 60 % of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ?
If the answer to the question is 70.77 %, 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 | C | 35 % of the employees of a company are men . 60 % of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ? | no of employees = 100 ( say ) men = 35 women = 65 men speaking french = 0.6 * 35 = 21 employees speaking french = 0.4 * 100 = 40 therefore women speaking french = 40 - 21 = 19 and women not speaking french = 65 - 19 = 46 % of women speaking french = 46 / 65 * 100 = 70.77 % answer e |
35 % of the employees of a company are men . X% of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ?
If the answer to the question is 70.77 %, 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. none D. small amount | B | 35 % of the employees of a company are men . 60 % of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ? | no of employees = 100 ( say ) men = 35 women = 65 men speaking french = 0.6 * 35 = 21 employees speaking french = 0.4 * 100 = 40 therefore women speaking french = 40 - 21 = 19 and women not speaking french = 65 - 19 = 46 % of women speaking french = 46 / 65 * 100 = 70.77 % answer e |
35 % of the employees of a company are men . 60 % of the men in the company speak french and X% of the employees of the company speak french . what is % of the women in the company who do not speak french ?
If the answer to the question is 70.77 %, 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. moderate amount D. tiny amount | C | 35 % of the employees of a company are men . 60 % of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ? | no of employees = 100 ( say ) men = 35 women = 65 men speaking french = 0.6 * 35 = 21 employees speaking french = 0.4 * 100 = 40 therefore women speaking french = 40 - 21 = 19 and women not speaking french = 65 - 19 = 46 % of women speaking french = 46 / 65 * 100 = 70.77 % answer e |
find compound interest on $ 10000 at X% per annum for 2 years 4 months , compounded annually .
If the answer to the question is 3886.25, 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. most | B | find compound interest on $ 10000 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 = $ [ 10000 x ( 1 + ( 15 / 100 ) ) 2 x ( 1 + ( ( 1 / 3 ) * 15 ) / 100 ) ] = $ [ 10000 * ( 23 / 20 ) * ( 23 / 20 ) * ( 21 / 20 ) ] = $ 13886.25 . : . c . i . = rs . ( 13886.25 - 10000 ) = $ 3886.25 answer a ." |
a big container is X% full with water . if 45 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container ?
If the answer to the question is 100 liters, 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. small amount D. all | B | a big container is 30 % full with water . if 45 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container ? | "a big container is 30 % full with water and after 45 liters of water is added , the container becomes 75 % full . hence these 45 liters account for 45 % of the container , which means that the capacity of it is 45 / 0.45 = 100 liters . or : if the capacity of the container is x liters then : 0.3 x + 45 = 0.75 x - - > x = 100 liters . answer : e ." |
X% of 1500 is
If the answer to the question is 480, 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. small amount D. moderate amount | D | 32 % of 1500 is | 1 % of 1500 is = 15 32 % of 1500 is = 32 * 15 = 480 answer : a |
find the principle on a certain sum of money at X% per annum for 2 2 / 5 years if the amount being rs . 1008 ?
If the answer to the question is 900, 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. tiny amount | A | find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1008 ? | "1008 = p [ 1 + ( 5 * 12 / 5 ) / 100 ] p = 900 answer : a" |
at joes steakhouse the hourly wage for a chef is X% greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 7.50 per hour , how much less than a manager does a chef earn each hour ?
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. small amount B. all C. none D. some | A | at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 7.50 per hour , how much less than a manager does a chef earn each hour ? | "manager wages per hour = $ 7.50 dishwasher wages per hour = half of manager ' s wages . = 1 / 2 ( $ 7.50 ) = = > $ 3.75 chef wages per hour = 20 % greater than dishwasher wages - - > 20 % of $ 3.75 = ( 20 * ( $ 3.75 ) ) / 100 - - > ( $ 75 ) / 100 - - > $ 0.75 therefore , chef wages per hour = $ 3.75 + $ 0.75 = = > $ 4.5 difference of wages between manager and chef = $ 7.50 - $ 4.5 = = > $ 3 answer : b" |
a person incurs a loss of X% be selling a watch for rs . 1140 . at what price should the watch be sold to earn 5 % profit
If the answer to the question is rs . 1260, 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. moderate amount | A | a person incurs a loss of 5 % be selling a watch for rs . 1140 . at what price should the watch be sold to earn 5 % profit | "explanation : let the new s . p . be x , then . ( 100 - loss % ) : ( 1 st s . p . ) = ( 100 + gain % ) : ( 2 nd s . p . ) = > ( 95 / 1140 = 105 / x ) = > x = 1260 option c" |
a person incurs a loss of 5 % be selling a watch for rs . 1140 . at what price should the watch be sold to earn X% profit
If the answer to the question is rs . 1260, 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. some | A | a person incurs a loss of 5 % be selling a watch for rs . 1140 . at what price should the watch be sold to earn 5 % profit | "explanation : let the new s . p . be x , then . ( 100 - loss % ) : ( 1 st s . p . ) = ( 100 + gain % ) : ( 2 nd s . p . ) = > ( 95 / 1140 = 105 / x ) = > x = 1260 option c" |
ms . lopez deposits $ 150 in an account that pays X% interest , compounded semiannually . how much money will there be in the account at the end of one year ?
If the answer to the question is $ 181.15, 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. most D. some | B | ms . lopez deposits $ 150 in an account that pays 20 % interest , compounded semiannually . how much money will there be in the account at the end of one year ? | "using formula - a = p ( 1 + r / n ) ^ nt given p = 150 n = 2 t = 1 r = 0.2 substituting value in formula a = 150 ( 1 + 0.2 / 2 ) ^ 2 a = 181.15 $ = c" |
how much is X% of 40 is greater than 4 / 5 of 25 ?
If the answer to the question is 8, 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. some | C | how much is 70 % of 40 is greater than 4 / 5 of 25 ? | "( 70 / 100 ) * 40 – ( 4 / 5 ) * 25 = 8 answer : e" |
a part - time employee ’ s hourly wage was increased by X% . she decided to decrease the number of hours worked per week so that her total income did not change . by approximately what percent should the number of hours worked be decreased ?
If the answer to the question is 9 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. small amount D. moderate amount | B | a part - time employee ’ s hourly wage was increased by 10 % . she decided to decrease the number of hours worked per week so that her total income did not change . by approximately what percent should the number of hours worked be decreased ? | "let ' s say the employee used to make $ 1 / hour and worked 100 hours / week so , the total weekly income was $ 100 / week after the 10 % wage increase , the employee makes $ 1.10 / hour we want the employee ' s income to remain at $ 100 / week . so , we want ( $ 1.10 / hour ) ( new # of hours ) = $ 100 divide both sides by 1.10 to get : new # of hours = 100 / 1.10 ≈ 90 hours so , the number of hours decreases from 100 hours to ( approximately ) 90 hours . this represents a 10 % decrease ( approximately ) . answer choice a is the closest answer ." |
the price of stock decreased by X% last year and rose by 10 % this year . what is the net percentage change in the price of the stock ?
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. some B. small amount C. none D. few | D | the price of stock decreased by 5 % last year and rose by 10 % this year . what is the net percentage change in the price of the stock ? | "( 100 % - 5 % ) * ( 100 % + 10 % ) = 0.95 * 1.10 = 1.045 = 104.5 % . the net percentage change in the price of the stock is ( + ) 4.5 % the answer is e" |
the price of stock decreased by 5 % last year and rose by X% this year . what is the net percentage change in the price of the stock ?
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. few B. none C. all D. most | A | the price of stock decreased by 5 % last year and rose by 10 % this year . what is the net percentage change in the price of the stock ? | "( 100 % - 5 % ) * ( 100 % + 10 % ) = 0.95 * 1.10 = 1.045 = 104.5 % . the net percentage change in the price of the stock is ( + ) 4.5 % the answer is e" |
when sold at a X% discount , a sweater nets the merchant a 40 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ?
If the answer to the question is 78.58 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. most C. none D. all | B | when sold at a 70 % discount , a sweater nets the merchant a 40 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ? | "we should be careful about what are we measuring % on / what is the base . . let the marked up price = 100 . . selling price = 100 - 70 % of 100 = 30 . . profit = 40 % . . therefore the wholesale purchase cost = x . . . . 1.4 x = 30 or x = 21.42 . . . marked price was 100 so . . . so answer is 78.58 % . . e" |
when sold at a 70 % discount , a sweater nets the merchant a X% profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ?
If the answer to the question is 78.58 %, 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. small amount | C | when sold at a 70 % discount , a sweater nets the merchant a 40 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ? | "we should be careful about what are we measuring % on / what is the base . . let the marked up price = 100 . . selling price = 100 - 70 % of 100 = 30 . . profit = 40 % . . therefore the wholesale purchase cost = x . . . . 1.4 x = 30 or x = 21.42 . . . marked price was 100 so . . . so answer is 78.58 % . . e" |
if the diameter of circle r is X% of the diameter of circle s , the area of circle r is what percent of the area of circle s ?
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. moderate amount B. none C. most D. all | A | if the diameter of circle r is 40 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ? | "let diameter of circle r , dr = 40 and diameter of circle s , ds = 100 radius of circle r , rr = 20 radius of circle s , rs = 50 area of circle r / area of circle s = ( pi * rr ^ 2 ) / ( pi * rs ^ 2 ) = ( 20 / 50 ) ^ 2 = ( 4 / 10 ) ^ 2 = 16 % answer : a" |
mary can do a piece of work in 26 days . rosy is X% more efficient than mary . the number of days taken by rosy to do the same piece of work is ?
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. tiny amount B. all C. moderate amount D. few | C | mary can do a piece of work in 26 days . rosy is 30 % more efficient than mary . the number of days taken by rosy to do the same piece of work is ? | "ratio of times taken by mary and rosy = 130 : 100 = 13 : 10 suppose rosy takes x days to do the work . 13 : 10 : : 26 : x = > x = 20 days . hence , rosy takes 20 days to complete the work . answer : b" |
a student has to obtain X% of the total marks to pass . he got 175 marks and failed by 56 marks . the maximum marks are ?
If the answer to the question is 700, 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 | a student has to obtain 33 % of the total marks to pass . he got 175 marks and failed by 56 marks . the maximum marks are ? | "let the maximum marks be x then , 33 % of x = 175 + 56 33 x / 100 = 231 x = 700 answer is e" |
a reduction of X% in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ?
If the answer to the question is 1.8, 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. some D. most | B | a reduction of 15 % in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ? | "100 * ( 15 / 100 ) = 15 - - - 10 ? - - - 1 = > rs . 1.5 100 - - - 85 ? - - - 1.5 = > rs . 1.8 answer : 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 10.5 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. none C. few D. tiny amount | D | on the first of the year , james invested x dollars at proudstar bank in an account that yields 2.5 % 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 = 2.5 % so for a year , interest = 10 % due to quarter cumulation , effective yield ( ytm ) would be slight higher than 10 % answer = 10.5 % = answer : e |
an article with cost price of 240 is sold at X% profit . what is the selling price ?
If the answer to the question is 288, 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. few D. small amount | D | an article with cost price of 240 is sold at 20 % profit . what is the selling price ? | "sp = 1.20 * 240 = 288 answer : a" |
in a certain company , a third of the workers do not have a retirement plan . X% of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?
If the answer to the question is 137, 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. moderate amount D. none | C | in a certain company , a third of the workers do not have a retirement plan . 40 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ? | "set up equation : x = total number of workers 120 = 0,4 * 2 / 3 * x + 0,6 * 1 / 3 * x 120 = 14 / 30 x x = 257 257 - 120 = 137 answer e" |
in a certain company , a third of the workers do not have a retirement plan . 40 % of the workers who do not have a retirement plan are women , and X% of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?
If the answer to the question is 137, 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. most | B | in a certain company , a third of the workers do not have a retirement plan . 40 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ? | "set up equation : x = total number of workers 120 = 0,4 * 2 / 3 * x + 0,6 * 1 / 3 * x 120 = 14 / 30 x x = 257 257 - 120 = 137 answer e" |
a trader bought a car at X% discount on its original price . he sold it at a 80 % 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 62 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. all C. none D. moderate amount | A | a trader bought a car at 10 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ? | "original price = 100 cp = 90 s = 90 * ( 180 / 100 ) = 162 100 - 162 = 62 % answer : b" |
a trader bought a car at 10 % 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 62 %, 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. few | A | a trader bought a car at 10 % discount on its original price . he sold it at a 80 % increase on the price he bought it . what percent of profit did he make on the original price ? | "original price = 100 cp = 90 s = 90 * ( 180 / 100 ) = 162 100 - 162 = 62 % answer : b" |
sue ' s trail mix is X% nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 40 % nuts , what percent of the combined mixture is dried fruit ?
If the answer to the question is 46.7 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. some C. small amount D. moderate amount | D | sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 40 % nuts , what percent of the combined mixture is dried fruit ? | "40 % is 10 % - points above 30 % and 20 % - points below 60 % . so the ratio of sue ' s mix to jane ' s mix is 2 : 1 . 2 / 3 * 70 % = 140 % / 3 = 46.7 % the answer is e ." |
sue ' s trail mix is 30 % nuts and X% dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 40 % nuts , what percent of the combined mixture is dried fruit ?
If the answer to the question is 46.7 %, 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. most D. moderate amount | C | sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 40 % nuts , what percent of the combined mixture is dried fruit ? | "40 % is 10 % - points above 30 % and 20 % - points below 60 % . so the ratio of sue ' s mix to jane ' s mix is 2 : 1 . 2 / 3 * 70 % = 140 % / 3 = 46.7 % the answer is e ." |
sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is X% nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 40 % nuts , what percent of the combined mixture is dried fruit ?
If the answer to the question is 46.7 %, 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. most D. moderate amount | C | sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 40 % nuts , what percent of the combined mixture is dried fruit ? | "40 % is 10 % - points above 30 % and 20 % - points below 60 % . so the ratio of sue ' s mix to jane ' s mix is 2 : 1 . 2 / 3 * 70 % = 140 % / 3 = 46.7 % the answer is e ." |
sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and X% chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 40 % nuts , what percent of the combined mixture is dried fruit ?
If the answer to the question is 46.7 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. none D. moderate amount | D | sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 40 % nuts , what percent of the combined mixture is dried fruit ? | "40 % is 10 % - points above 30 % and 20 % - points below 60 % . so the ratio of sue ' s mix to jane ' s mix is 2 : 1 . 2 / 3 * 70 % = 140 % / 3 = 46.7 % the answer is e ." |
sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains X% nuts , what percent of the combined mixture is dried fruit ?
If the answer to the question is 46.7 %, 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. none | C | sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 40 % nuts , what percent of the combined mixture is dried fruit ? | "40 % is 10 % - points above 30 % and 20 % - points below 60 % . so the ratio of sue ' s mix to jane ' s mix is 2 : 1 . 2 / 3 * 70 % = 140 % / 3 = 46.7 % the answer is e ." |
a man buys a cycle for rs . 2800 and sells it at a loss of X% . what is the selling price of the cycle ?
If the answer to the question is s . 2100, 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. some D. none | C | a man buys a cycle for rs . 2800 and sells it at a loss of 25 % . what is the selling price of the cycle ? | "s . p . = 75 % of rs . 2800 = rs . 75 x 2800 / 100 = rs . 1190 answer : option c" |
a reduction of X% in the price of oil enables a house wife to obtain 8 kgs more for rs . 2400 , what is the reduced price for kg ?
If the answer to the question is rs . 120, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. moderate amount D. none | C | a reduction of 40 % in the price of oil enables a house wife to obtain 8 kgs more for rs . 2400 , what is the reduced price for kg ? | "explanation : 2400 * ( 40 / 100 ) = 960 - - - - 8 ? - - - - 1 = > rs . 120 answer : a" |
there is a X% chance that tigers will not win at all during the whole season . there is a 30 % chance that portugeese will not play at all in the whole season . what is the greatest possible probability that the tigers will win and portugeese will play during the season ?
If the answer to the question is 70 %, 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. few D. all | B | there is a 30 % chance that tigers will not win at all during the whole season . there is a 30 % chance that portugeese will not play at all in the whole season . what is the greatest possible probability that the tigers will win and portugeese will play during the season ? | "there is a 30 % chance that tigers will not win at all during the whole season we can infer that there is 70 % chance tigers will win . similarly there is a 30 % chance that portugeese will not play at all in the whole season we can also infer that there is 70 % chance that portugeese will play . answer c" |
there is a 30 % chance that tigers will not win at all during the whole season . there is a X% chance that portugeese will not play at all in the whole season . what is the greatest possible probability that the tigers will win and portugeese will play during the season ?
If the answer to the question is 70 %, 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. all | C | there is a 30 % chance that tigers will not win at all during the whole season . there is a 30 % chance that portugeese will not play at all in the whole season . what is the greatest possible probability that the tigers will win and portugeese will play during the season ? | "there is a 30 % chance that tigers will not win at all during the whole season we can infer that there is 70 % chance tigers will win . similarly there is a 30 % chance that portugeese will not play at all in the whole season we can also infer that there is 70 % chance that portugeese will play . answer c" |
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 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. moderate amount D. small amount | C | in an examination , 300 students appeared . out of these students ; 30 % 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 = 30 % of 300 = 30 / 100 × 300 = 9000 / 100 = 90 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 – ( 90 + 162 ) = 48 answer : e |
in an examination , 300 students appeared . out of these students ; 30 % 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 48, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. most C. small amount D. some | B | in an examination , 300 students appeared . out of these students ; 30 % 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 = 30 % of 300 = 30 / 100 × 300 = 9000 / 100 = 90 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 – ( 90 + 162 ) = 48 answer : e |
at the end of year x , automobile installment credit accounted for X% of all outstanding consumer installment credit . at that time automobile finance companies extended $ 40 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ?
If the answer to the question is 342.86, 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. moderate amount | D | at the end of year x , automobile installment credit accounted for 35 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 40 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ? | "system of equations a = ( 35 / 100 ) c ( 1 / 3 ) a = 40 - - > a = 120 substitution 120 = ( 35 / 100 ) c c = ( 100 / 35 ) 120 answer - 120 / 35 * 100 the correct answer is e . - 342.86" |
two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit X% and 40 % 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 40 %, 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 | D | two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 40 % 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 | answer : d . |
two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 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 40 %, 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. few | B | two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 40 % 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 | answer : d . |
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 96 %, 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. small amount D. tiny amount | B | what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 40 % ? | "the question is very easy . my logic is the following : a surface = 6 * a ^ 2 after 40 % increase a surface = 6 * ( ( 1.4 a ) ^ 2 ) = 6 * 1.96 * a ^ 2 the increase in the surface area = ( 6 * 1.96 * a ^ 2 - 6 * a ^ 2 ) / 6 * a ^ 2 = ( 6 * a ^ 2 ( 1.96 - 1 ) ) / ( 6 * a ^ 2 ) = 1.96 - 1 = 0.96 = 96 % answer : d" |
in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces X% . what is population of after 2 year .
If the answer to the question is 141, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. none C. few D. most | C | in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 10 % . what is population of after 2 year . | next year total population = [ 150 ^ 2 + 90 ^ 2 ] ^ . 5 = 174.92 = 175 man decreased by 10 % so total man = 150 * . 9 = 135 women will be = 175 - 135 = 40 so population after two years = [ 135 ^ 2 + 40 ^ 2 ] ^ . 5 = 140.80 = 141 so population after two year = 141 answer : b |
a trader bought a car at X% discount on its original price . he sold it at a 50 % 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 20 %, 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. some D. moderate amount | B | a trader bought a car at 20 % discount on its original price . he sold it at a 50 % 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 * ( 150 / 100 ) = 120 100 - 120 = 20 % answer : c" |
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 20 %, 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. moderate amount D. none | C | a trader bought a car at 20 % discount on its original price . he sold it at a 50 % 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 * ( 150 / 100 ) = 120 100 - 120 = 20 % answer : c" |
we invested a total of $ 1,000 . we invested one part of the money at X% and the rest of the money at 6 % . the total investment with interest at the end of the year was $ 1 , 052.50 . how much money did we invest at 3 % ?
If the answer to the question is $ 250, 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. moderate amount | B | we invested a total of $ 1,000 . we invested one part of the money at 3 % and the rest of the money at 6 % . the total investment with interest at the end of the year was $ 1 , 052.50 . how much money did we invest at 3 % ? | "let x be the money invested at 3 % . 1.03 x + 1.06 ( 1000 - x ) = 1052.50 . 0.03 x = 1060 - 1052.50 . 0.03 x = 7.50 . 3 x = 750 . x = 250 . the answer is d ." |
we invested a total of $ 1,000 . we invested one part of the money at 3 % and the rest of the money at X% . the total investment with interest at the end of the year was $ 1 , 052.50 . how much money did we invest at 3 % ?
If the answer to the question is $ 250, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. most C. tiny amount D. few | D | we invested a total of $ 1,000 . we invested one part of the money at 3 % and the rest of the money at 6 % . the total investment with interest at the end of the year was $ 1 , 052.50 . how much money did we invest at 3 % ? | "let x be the money invested at 3 % . 1.03 x + 1.06 ( 1000 - x ) = 1052.50 . 0.03 x = 1060 - 1052.50 . 0.03 x = 7.50 . 3 x = 750 . x = 250 . the answer is d ." |
we invested a total of $ 1,000 . we invested one part of the money at 3 % and the rest of the money at 6 % . the total investment with interest at the end of the year was $ 1 , 052.50 . how much money did we invest at X% ?
If the answer to the question is $ 250, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. small amount D. tiny amount | D | we invested a total of $ 1,000 . we invested one part of the money at 3 % and the rest of the money at 6 % . the total investment with interest at the end of the year was $ 1 , 052.50 . how much money did we invest at 3 % ? | "let x be the money invested at 3 % . 1.03 x + 1.06 ( 1000 - x ) = 1052.50 . 0.03 x = 1060 - 1052.50 . 0.03 x = 7.50 . 3 x = 750 . x = 250 . the answer is d ." |
the area of a rectangular plot is 460460 square metres . if the length is X% 15 % more than the breadth , what is the breadth of the plot ?
If the answer to the question is 20 metres, 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. most | A | the area of a rectangular plot is 460460 square metres . if the length is 15 % 15 % more than the breadth , what is the breadth of the plot ? | "explanation : length 115 % of breadth . length × breadth = 460 m 2 ⇒ 115 % of breadth × breadth = 460 m 2 ⇒ 115 / 100 × breadth × breadth = 460 m 2 ⇒ breadth × breadth = 400 m 2 ⇒ breadth = 20 m answer : option b" |
the area of a rectangular plot is 460460 square metres . if the length is 15 % X% more than the breadth , what is the breadth of the plot ?
If the answer to the question is 20 metres, 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. few | A | the area of a rectangular plot is 460460 square metres . if the length is 15 % 15 % more than the breadth , what is the breadth of the plot ? | "explanation : length 115 % of breadth . length × breadth = 460 m 2 ⇒ 115 % of breadth × breadth = 460 m 2 ⇒ 115 / 100 × breadth × breadth = 460 m 2 ⇒ breadth × breadth = 400 m 2 ⇒ breadth = 20 m answer : option b" |
adam borrowed some money at the rate of X% p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years , and at the rate of 14 % p . a . for the period beyond 5 years . 1 £ he pays a total interest of rs . 11400 at the end of 9 years how much money did he borrow ?
If the answer to the question is rs . 12000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. most C. few D. some | C | adam borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years , and at the rate of 14 % p . a . for the period beyond 5 years . 1 £ he pays a total interest of rs . 11400 at the end of 9 years how much money did he borrow ? | let the sum borrowed be x . then , ( x * 2 * 6 ) / 100 + ( x * 9 * 3 ) / 100 + ( x * 14 * 4 ) / 100 = 11400 ( 3 x / 25 + 27 x / 100 + 14 x / 25 ) = 11400 95 x / 100 = 11400 x = ( 11400 * 100 ) / 95 = 12000 . hence , sum borrowed = rs . 12000 answer is e . |
adam borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of X% p . a . for the next 3 years , and at the rate of 14 % p . a . for the period beyond 5 years . 1 £ he pays a total interest of rs . 11400 at the end of 9 years how much money did he borrow ?
If the answer to the question is rs . 12000, 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. most | C | adam borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years , and at the rate of 14 % p . a . for the period beyond 5 years . 1 £ he pays a total interest of rs . 11400 at the end of 9 years how much money did he borrow ? | let the sum borrowed be x . then , ( x * 2 * 6 ) / 100 + ( x * 9 * 3 ) / 100 + ( x * 14 * 4 ) / 100 = 11400 ( 3 x / 25 + 27 x / 100 + 14 x / 25 ) = 11400 95 x / 100 = 11400 x = ( 11400 * 100 ) / 95 = 12000 . hence , sum borrowed = rs . 12000 answer is e . |
adam borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years , and at the rate of X% p . a . for the period beyond 5 years . 1 £ he pays a total interest of rs . 11400 at the end of 9 years how much money did he borrow ?
If the answer to the question is rs . 12000, 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. small amount | D | adam borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years , and at the rate of 14 % p . a . for the period beyond 5 years . 1 £ he pays a total interest of rs . 11400 at the end of 9 years how much money did he borrow ? | let the sum borrowed be x . then , ( x * 2 * 6 ) / 100 + ( x * 9 * 3 ) / 100 + ( x * 14 * 4 ) / 100 = 11400 ( 3 x / 25 + 27 x / 100 + 14 x / 25 ) = 11400 95 x / 100 = 11400 x = ( 11400 * 100 ) / 95 = 12000 . hence , sum borrowed = rs . 12000 answer is e . |
the cash difference between the selling prices of an article at a profit of X% and 2 % is rs . 3 . the ratio of the two selling prices is ?
If the answer to the question is 52 : 51, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. all C. tiny amount D. moderate amount | C | the cash difference between the selling prices of an article at a profit of 4 % and 2 % is rs . 3 . the ratio of the two selling prices is ? | "let c . p . of the article be rs . x . then , required ratio = 104 % of x / 102 % of x = 104 / 102 = 52 / 51 = 52 : 51 answer : a" |
the cash difference between the selling prices of an article at a profit of 4 % and X% is rs . 3 . the ratio of the two selling prices is ?
If the answer to the question is 52 : 51, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. all C. most D. tiny amount | D | the cash difference between the selling prices of an article at a profit of 4 % and 2 % is rs . 3 . the ratio of the two selling prices is ? | "let c . p . of the article be rs . x . then , required ratio = 104 % of x / 102 % of x = 104 / 102 = 52 / 51 = 52 : 51 answer : a" |
a student took 5 papers in an examination , where the full marks were the same for each paper . his marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10 . in all papers together , the candidate obtained X% of the total marks then , the number of papers in which he got more than 50 % marks is
If the answer to the question is 4, 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. most | D | a student took 5 papers in an examination , where the full marks were the same for each paper . his marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10 . in all papers together , the candidate obtained 60 % of the total marks then , the number of papers in which he got more than 50 % marks is | solution : let the marks obtained in five subjects be 6 x , 7 x , 8 x , 9 x and 10 x . total marks obtained = 40 x max . marks of the five subjects = 40 x / 0.6 [ 40 x is 60 % of total marks ] max . marks in each subject = 40 x / 0.6 * 5 = 13.33 x hence , % of each subject = 6 x * 100 / 13.33 = 45.01 % or , 7 x * 100 / 13.33 = 52.51 in same way other percentage are 60.01 % , 67.52 % , 75.01 % . hence , number of subjects in which he gets more than 50 % marks = 4 . answer : option c |
a student took 5 papers in an examination , where the full marks were the same for each paper . his marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10 . in all papers together , the candidate obtained 60 % of the total marks then , the number of papers in which he got more than X% marks is
If the answer to the question is 4, 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. moderate amount | D | a student took 5 papers in an examination , where the full marks were the same for each paper . his marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10 . in all papers together , the candidate obtained 60 % of the total marks then , the number of papers in which he got more than 50 % marks is | solution : let the marks obtained in five subjects be 6 x , 7 x , 8 x , 9 x and 10 x . total marks obtained = 40 x max . marks of the five subjects = 40 x / 0.6 [ 40 x is 60 % of total marks ] max . marks in each subject = 40 x / 0.6 * 5 = 13.33 x hence , % of each subject = 6 x * 100 / 13.33 = 45.01 % or , 7 x * 100 / 13.33 = 52.51 in same way other percentage are 60.01 % , 67.52 % , 75.01 % . hence , number of subjects in which he gets more than 50 % marks = 4 . answer : option c |
subtracting X% of a from a is equivalent to multiplying a by how much ?
If the answer to the question is 0.95, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. most D. few | D | subtracting 5 % of a from a is equivalent to multiplying a by how much ? | "answer let a - 5 % of a = ab . ⇒ ( 95 x a ) / 100 = ab ∴ b = 0.95 correct option : a" |
a trader bought a car at X% discount on its original price . he sold it at a 60 % 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 28 %, 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. some | B | a trader bought a car at 20 % discount on its original price . he sold it at a 60 % 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 * ( 160 / 100 ) = 128 100 - 128 = 28 % answer : a" |
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 28 %, 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. most D. all | C | a trader bought a car at 20 % discount on its original price . he sold it at a 60 % 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 * ( 160 / 100 ) = 128 100 - 128 = 28 % answer : a" |
at a certain organisation , the number of male members went up by X% in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ?
If the answer to the question is 1 : 2, 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. none | C | at a certain organisation , the number of male members went up by 15 % in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? | "men increase by 15 % = = > 1.15 m = males in 2001 women decrease by 6 % = = > 0.94 f = women in 2001 total employees increase by 1.2 % = = > 1.012 * ( m + f ) = total number of employees in 2001 obviously ( males in 2001 ) + ( females in 2001 ) = total number of employees in 2001 1.15 m + 0.94 f = 1.012 * ( m + f ) 1.15 m + 0.94 f = 1.012 m + 1.012 f 1.15 m - 1.012 m = 1.012 f - 0.94 f 0.138 m = 0.072 f m / f = ( 0.072 ) / ( 0.138 ) = 72 / 138 = 1 / 2 answer = ( a )" |
at a certain organisation , the number of male members went up by 15 % in the year 2001 from year 2000 , and the number of females members went down by X% in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ?
If the answer to the question is 1 : 2, 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. all | C | at a certain organisation , the number of male members went up by 15 % in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? | "men increase by 15 % = = > 1.15 m = males in 2001 women decrease by 6 % = = > 0.94 f = women in 2001 total employees increase by 1.2 % = = > 1.012 * ( m + f ) = total number of employees in 2001 obviously ( males in 2001 ) + ( females in 2001 ) = total number of employees in 2001 1.15 m + 0.94 f = 1.012 * ( m + f ) 1.15 m + 0.94 f = 1.012 m + 1.012 f 1.15 m - 1.012 m = 1.012 f - 0.94 f 0.138 m = 0.072 f m / f = ( 0.072 ) / ( 0.138 ) = 72 / 138 = 1 / 2 answer = ( a )" |
at a certain organisation , the number of male members went up by 15 % in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by X% from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ?
If the answer to the question is 1 : 2, 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. some | B | at a certain organisation , the number of male members went up by 15 % in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? | "men increase by 15 % = = > 1.15 m = males in 2001 women decrease by 6 % = = > 0.94 f = women in 2001 total employees increase by 1.2 % = = > 1.012 * ( m + f ) = total number of employees in 2001 obviously ( males in 2001 ) + ( females in 2001 ) = total number of employees in 2001 1.15 m + 0.94 f = 1.012 * ( m + f ) 1.15 m + 0.94 f = 1.012 m + 1.012 f 1.15 m - 1.012 m = 1.012 f - 0.94 f 0.138 m = 0.072 f m / f = ( 0.072 ) / ( 0.138 ) = 72 / 138 = 1 / 2 answer = ( a )" |
marketing executives for a certain chewing gum company projected a 40 percent increase in revenue this year over that of last year , but revenue this year actually decreased by X% . what percent of the projected revenue was the actual revenue ?
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. tiny amount C. all D. moderate amount | D | marketing executives for a certain chewing gum company projected a 40 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 30 % . what percent of the projected revenue was the actual revenue ? | last year revenue = 100 ( assume ) ; this year revenue = 70 ; projected revenue = 140 . actual / projected * 100 = 70 / 140 * 100 = 50 % . answer : a . |
evaluate X% of 450 + 45 % of 280
If the answer to the question is 252, 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. moderate amount | B | evaluate 28 % of 450 + 45 % of 280 | "explanation : = ( 28 / 100 ) * 450 + ( 45 / 100 ) * 280 = 126 + 126 = 252 option c" |
evaluate 28 % of 450 + X% of 280
If the answer to the question is 252, 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. tiny amount | A | evaluate 28 % of 450 + 45 % of 280 | "explanation : = ( 28 / 100 ) * 450 + ( 45 / 100 ) * 280 = 126 + 126 = 252 option c" |
if x is less than y by X% then y exceed x by :
If the answer to the question is 33.33 %, 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. some D. small amount | C | if x is less than y by 25 % then y exceed x by : | "using formula ( x / ( 100 - x ) * 100 ) where x is percentage decrease ( here it is 25 % ) = > 25 ( 100 - 25 ) * 100 = 33.33 % answer : a" |
in august , a cricket team that played 120 matches won X% of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ?
If the answer to the question is 70, 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. all D. some | D | in august , a cricket team that played 120 matches won 24 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ? | let the no of matches played more = x so , ( 120 + x ) * 52 / 100 = 28.8 + x by solving we get x = 70 answer : d |
in august , a cricket team that played 120 matches won 24 % of the games it played . after a continuous winning streak , this team raised its average to X% . how many matches did the team win to attain this average ?
If the answer to the question is 70, 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. few D. some | A | in august , a cricket team that played 120 matches won 24 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ? | let the no of matches played more = x so , ( 120 + x ) * 52 / 100 = 28.8 + x by solving we get x = 70 answer : d |
after successive discounts of X% , 10 % and 5 % a certain good is sold for rs . 6700 . find the actual price of the good .
If the answer to the question is s . 9795, 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. most | C | after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6700 . find the actual price of the good . | let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6700 1 = 6700 / 68.4 100 = ( 6700 * 100 ) / 68.4 = rs . 9795 . answer : option d |
after successive discounts of 20 % , X% and 5 % a certain good is sold for rs . 6700 . find the actual price of the good .
If the answer to the question is s . 9795, 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. few | D | after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6700 . find the actual price of the good . | let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6700 1 = 6700 / 68.4 100 = ( 6700 * 100 ) / 68.4 = rs . 9795 . answer : option d |
after successive discounts of 20 % , 10 % and X% a certain good is sold for rs . 6700 . find the actual price of the good .
If the answer to the question is s . 9795, 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. tiny amount | B | after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6700 . find the actual price of the good . | let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6700 1 = 6700 / 68.4 100 = ( 6700 * 100 ) / 68.4 = rs . 9795 . answer : option d |
in one alloy there is X% chromium while in another alloy it is 6 % . 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .
If the answer to the question is 7.2 %, 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. moderate amount | C | in one alloy there is 10 % chromium while in another alloy it is 6 % . 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy . | "the amount of chromium in the new 15 + 35 = 50 kg alloy is 0.10 * 15 + 0.06 * 35 = 3.6 kg , so the percentage is 3.6 / 50 * 100 = 7.2 % . answer : a ." |
in one alloy there is 10 % chromium while in another alloy it is X% . 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .
If the answer to the question is 7.2 %, 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. most D. few | D | in one alloy there is 10 % chromium while in another alloy it is 6 % . 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy . | "the amount of chromium in the new 15 + 35 = 50 kg alloy is 0.10 * 15 + 0.06 * 35 = 3.6 kg , so the percentage is 3.6 / 50 * 100 = 7.2 % . answer : a ." |
if an article is sold at X% profit instead of 11 % profit , then the profit would be $ 56 more . what is the cost price ?
If the answer to the question is $ 800, 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. all D. none | B | if an article is sold at 18 % profit instead of 11 % profit , then the profit would be $ 56 more . what is the cost price ? | "7 % * cost price = $ 56 1 % * cost price = $ 56 / 7 = $ 8 the cost price is $ 800 . the answer is b ." |
if an article is sold at 18 % profit instead of X% profit , then the profit would be $ 56 more . what is the cost price ?
If the answer to the question is $ 800, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. some C. none D. most | A | if an article is sold at 18 % profit instead of 11 % profit , then the profit would be $ 56 more . what is the cost price ? | "7 % * cost price = $ 56 1 % * cost price = $ 56 / 7 = $ 8 the cost price is $ 800 . the answer is b ." |
a jar full of whisky contains X% alcohol . a part of this whisky is replaced by another containg 17 % alcohol and now the percentage of alcohol was found to be 26 % . what quantity of whisky is replaced ?
If the answer to the question is 2 / 5, 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. most | C | a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containg 17 % alcohol and now the percentage of alcohol was found to be 26 % . what quantity of whisky is replaced ? | "let us assume the total original amount of whiskey = 10 ml - - - > 4 ml alcohol and 6 ml non - alcohol . let x ml be the amount removed - - - > total alcohol left = 4 - 0.4 x new quantity of whiskey added = x ml out of which 0.19 is the alcohol . thus , the final quantity of alcohol = 4 - 0.4 x + 0.19 x - - - - > ( 4 - 0.21 x ) / 10 = 0.26 - - - > x = 20 / 3 ml . per the question , you need to find the x ml removed as a ratio of the initial volume - - - > ( 20 / 3 ) / 10 = 2 / 5 . hence , c is the correct answer ." |
a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containg X% alcohol and now the percentage of alcohol was found to be 26 % . what quantity of whisky is replaced ?
If the answer to the question is 2 / 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. all D. moderate amount | A | a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containg 17 % alcohol and now the percentage of alcohol was found to be 26 % . what quantity of whisky is replaced ? | "let us assume the total original amount of whiskey = 10 ml - - - > 4 ml alcohol and 6 ml non - alcohol . let x ml be the amount removed - - - > total alcohol left = 4 - 0.4 x new quantity of whiskey added = x ml out of which 0.19 is the alcohol . thus , the final quantity of alcohol = 4 - 0.4 x + 0.19 x - - - - > ( 4 - 0.21 x ) / 10 = 0.26 - - - > x = 20 / 3 ml . per the question , you need to find the x ml removed as a ratio of the initial volume - - - > ( 20 / 3 ) / 10 = 2 / 5 . hence , c is the correct answer ." |
a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containg 17 % alcohol and now the percentage of alcohol was found to be X% . what quantity of whisky is replaced ?
If the answer to the question is 2 / 5, 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. some D. small amount | C | a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containg 17 % alcohol and now the percentage of alcohol was found to be 26 % . what quantity of whisky is replaced ? | "let us assume the total original amount of whiskey = 10 ml - - - > 4 ml alcohol and 6 ml non - alcohol . let x ml be the amount removed - - - > total alcohol left = 4 - 0.4 x new quantity of whiskey added = x ml out of which 0.19 is the alcohol . thus , the final quantity of alcohol = 4 - 0.4 x + 0.19 x - - - - > ( 4 - 0.21 x ) / 10 = 0.26 - - - > x = 20 / 3 ml . per the question , you need to find the x ml removed as a ratio of the initial volume - - - > ( 20 / 3 ) / 10 = 2 / 5 . hence , c is the correct answer ." |
the purchase price of an article is $ 48 . in order to include X% of cost for overhead and to provide $ 12 of net profit , the markup should be
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. few B. moderate amount C. most D. none | A | the purchase price of an article is $ 48 . in order to include 5 % of cost for overhead and to provide $ 12 of net profit , the markup should be | "cost price of article = 48 $ % of overhead cost = 5 net profit = 12 $ we need to calculate % markup net profit as % of cost price = ( 12 / 48 ) * 100 = 25 % total markup should be = 25 + 5 = 30 % answer c" |
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 79.2, 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. small amount | B | a store reduced the price of all items in the store by 12 % 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 12 % price becomes = 0.88 * 100 = $ 88 after the final reduction of 10 % price becomes = 0.9 * 88 = $ 79.2 price of all items on second day is 79.2 % of price on first day correct answer option b" |
a store reduced the price of all items in the store by 12 % 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 79.2, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. few D. tiny amount | C | a store reduced the price of all items in the store by 12 % 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 12 % price becomes = 0.88 * 100 = $ 88 after the final reduction of 10 % price becomes = 0.9 * 88 = $ 79.2 price of all items on second day is 79.2 % of price on first day correct answer option b" |
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