instruction stringlengths 211 775 | response stringclasses 4
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salad dressing p is made up of 30 % vinegar and 70 % oil , and salad dressing q contains 10 % vinegar and X% oil . if the two dressings are combined to produce a salad dressing that is 20 % vinegar , dressing p comprises what percentage of the new dressing ?
If the answer to the question is 50 %, then please select th... | A | salad dressing p is made up of 30 % vinegar and 70 % oil , and salad dressing q contains 10 % vinegar and 90 % oil . if the two dressings are combined to produce a salad dressing that is 20 % vinegar , dressing p comprises what percentage of the new dressing ? | "let x be the percentage of dressing p in the new dressing . 0.3 x + 0.1 ( 1 - x ) = 0.20 0.2 x = 0.10 x = 0.5 = 50 % the answer is b ." |
salad dressing p is made up of 30 % vinegar and 70 % oil , and salad dressing q contains 10 % vinegar and 90 % oil . if the two dressings are combined to produce a salad dressing that is X% vinegar , dressing p comprises what percentage of the new dressing ?
If the answer to the question is 50 %, then please select th... | B | salad dressing p is made up of 30 % vinegar and 70 % oil , and salad dressing q contains 10 % vinegar and 90 % oil . if the two dressings are combined to produce a salad dressing that is 20 % vinegar , dressing p comprises what percentage of the new dressing ? | "let x be the percentage of dressing p in the new dressing . 0.3 x + 0.1 ( 1 - x ) = 0.20 0.2 x = 0.10 x = 0.5 = 50 % the answer is b ." |
rs . 850 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by X% , what amount will rs . 850 become in 3 years ?
If the answer to the question is rs . 1058, then please select the most appropriate quantifier that is closest to the meaning of X% from the following c... | C | rs . 850 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 850 become in 3 years ? | "solution s . i . = rs . ( 956 - 850 ) = rs . 106 rate = ( 100 x 106 / 850 x 3 ) = 212 / 51 % new rate = ( 212 / 51 + 4 ) % = 416 / 51 % new s . i . = rs . ( 850 x 416 / 51 x 3 / 100 ) rs . 208 . β΄ new amount = rs . ( 850 + 208 ) = rs . 1058 . answer c" |
a specialized type of sand consists of X% mineral x by volume and 60 % mineral y by volume . if mineral x weighs 2.5 grams per cubic centimeter and mineral y weighs 4 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters )
If the answer to th... | D | a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 2.5 grams per cubic centimeter and mineral y weighs 4 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) | "let the volume be 1 m ^ 3 = 1 m * 1 m * 1 m = 100 cm * 100 cm * 100 cm = 1 , 000,000 cm ^ 3 by volume 40 % is x = 400,000 cm ^ 3 60 % is y = 600,000 cm ^ 3 by weight , in 1 cm ^ 3 , x is 2.5 gms in 400,000 cm ^ 3 , x = 2.5 * 400,000 = 1 , 000,000 grams in 1 cm ^ 3 , y is 4 gms in 600,000 cm ^ 3 , y = 4 * 600,000 = 2 ,... |
a specialized type of sand consists of 40 % mineral x by volume and X% mineral y by volume . if mineral x weighs 2.5 grams per cubic centimeter and mineral y weighs 4 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters )
If the answer to th... | B | a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume . if mineral x weighs 2.5 grams per cubic centimeter and mineral y weighs 4 grams per cubic centimeter , how many grams does a cubic meter of specialized sand combination weigh ? ( 1 meter = 100 centimeters ) | "let the volume be 1 m ^ 3 = 1 m * 1 m * 1 m = 100 cm * 100 cm * 100 cm = 1 , 000,000 cm ^ 3 by volume 40 % is x = 400,000 cm ^ 3 60 % is y = 600,000 cm ^ 3 by weight , in 1 cm ^ 3 , x is 2.5 gms in 400,000 cm ^ 3 , x = 2.5 * 400,000 = 1 , 000,000 grams in 1 cm ^ 3 , y is 4 gms in 600,000 cm ^ 3 , y = 4 * 600,000 = 2 ,... |
a baseball card decreased in value X% in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ?
If the answer to the question is 32.5 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choice... | D | a baseball card decreased in value 25 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ? | "let the initial value of baseball card = 100 after first year , value of baseball card = ( 1 - 25 / 100 ) * 100 = 75 after second year , value of baseball card = ( 1 - 10 / 100 ) * 75 = 67.5 total percent decrease of the card ' s value over the two years = ( 100 - 67.5 ) / 100 * 100 % = 31.5 % answer c" |
a baseball card decreased in value 25 % in its first year and X% in its second year . what was the total percent decrease of the card ' s value over the two years ?
If the answer to the question is 32.5 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choice... | D | a baseball card decreased in value 25 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ? | "let the initial value of baseball card = 100 after first year , value of baseball card = ( 1 - 25 / 100 ) * 100 = 75 after second year , value of baseball card = ( 1 - 10 / 100 ) * 75 = 67.5 total percent decrease of the card ' s value over the two years = ( 100 - 67.5 ) / 100 * 100 % = 31.5 % answer c" |
a dealer offers a cash discount of X% and still makes a profit of 25 % when he further allows 60 articles to be sold at the cost price of 50 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?
If the answer to the question is 78 + ( 4 / 7 ) %, then please select... | C | a dealer offers a cash discount of 16 % and still makes a profit of 25 % when he further allows 60 articles to be sold at the cost price of 50 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ? | "given cash discount - 16 % profit - 25 % items sold - 60 price sold at = list price of 50 assume list price = $ 10 total invoice = $ 500 - 16 % cash discount = $ 420 let cost price of 60 items be x so total cost = 60 * x given the shopkeeper had a profit of 25 % 60 * x * 125 / 100 = 420 or x = $ 7 * 4 / 5 = $ 28 / 5 w... |
a dealer offers a cash discount of 16 % and still makes a profit of X% when he further allows 60 articles to be sold at the cost price of 50 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?
If the answer to the question is 78 + ( 4 / 7 ) %, then please select... | C | a dealer offers a cash discount of 16 % and still makes a profit of 25 % when he further allows 60 articles to be sold at the cost price of 50 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ? | "given cash discount - 16 % profit - 25 % items sold - 60 price sold at = list price of 50 assume list price = $ 10 total invoice = $ 500 - 16 % cash discount = $ 420 let cost price of 60 items be x so total cost = 60 * x given the shopkeeper had a profit of 25 % 60 * x * 125 / 100 = 420 or x = $ 7 * 4 / 5 = $ 28 / 5 w... |
the owner of a furniture shop charges his customer X% more than the cost price . if a customer paid rs . 8400 for a computer table , then what was the cost price of the computer table ?
If the answer to the question is rs . 6720, then please select the most appropriate quantifier that is closest to the meaning of X% f... | C | the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 8400 for a computer table , then what was the cost price of the computer table ? | "cp = sp * ( 100 / ( 100 + profit % ) ) = 8400 ( 100 / 125 ) = rs . 6720 . answer : d" |
if y is X% greater than x , than x is what % less than y ?
If the answer to the question is 47.4 %, 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 | if y is 90 % greater than x , than x is what % less than y ? | "y = 1.9 x x = y / 1.9 = 10 y / 19 x is 9 / 19 less which is 47.4 % less than y . the answer is d ." |
paul ' s income is X% less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to paul and 40 % of his income to quentin , paul ' s new income would be what fraction of quentin ' s new income ?
If the answer ... | C | paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to paul and 40 % of his income to quentin , paul ' s new income would be what fraction of quentin ' s new income ? | "make r = 10 p = 0.6 r = 6 q = 0.8 p = 4.8 s = 0.6 p = 3.6 for that we get p = 12 and q 8.8 so 12 / 8.8 = 3 / 2.2 ans : d" |
paul ' s income is 40 % less than rex ' s income , quentin ' s income is X% less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to paul and 40 % of his income to quentin , paul ' s new income would be what fraction of quentin ' s new income ?
If the answer ... | D | paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to paul and 40 % of his income to quentin , paul ' s new income would be what fraction of quentin ' s new income ? | "make r = 10 p = 0.6 r = 6 q = 0.8 p = 4.8 s = 0.6 p = 3.6 for that we get p = 12 and q 8.8 so 12 / 8.8 = 3 / 2.2 ans : d" |
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is X% less than paul ' s income . if rex gave 60 % of his income to paul and 40 % of his income to quentin , paul ' s new income would be what fraction of quentin ' s new income ?
If the answer ... | B | paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to paul and 40 % of his income to quentin , paul ' s new income would be what fraction of quentin ' s new income ? | "make r = 10 p = 0.6 r = 6 q = 0.8 p = 4.8 s = 0.6 p = 3.6 for that we get p = 12 and q 8.8 so 12 / 8.8 = 3 / 2.2 ans : d" |
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave X% of his income to paul and 40 % of his income to quentin , paul ' s new income would be what fraction of quentin ' s new income ?
If the answer ... | B | paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to paul and 40 % of his income to quentin , paul ' s new income would be what fraction of quentin ' s new income ? | "make r = 10 p = 0.6 r = 6 q = 0.8 p = 4.8 s = 0.6 p = 3.6 for that we get p = 12 and q 8.8 so 12 / 8.8 = 3 / 2.2 ans : d" |
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to paul and X% of his income to quentin , paul ' s new income would be what fraction of quentin ' s new income ?
If the answer ... | D | paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to paul and 40 % of his income to quentin , paul ' s new income would be what fraction of quentin ' s new income ? | "make r = 10 p = 0.6 r = 6 q = 0.8 p = 4.8 s = 0.6 p = 3.6 for that we get p = 12 and q 8.8 so 12 / 8.8 = 3 / 2.2 ans : d" |
the cash difference between the selling prices of an article at a profit of X% and 6 % is rs . 3 . the ratio of the two selling prices is ?
If the answer to the question is 54 : 53, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. sm... | A | the cash difference between the selling prices of an article at a profit of 8 % and 6 % is rs . 3 . the ratio of the two selling prices is ? | "let c . p . of the article be rs . x . then , required ratio = 108 % of x / 106 % of x = 108 / 106 = 54 / 53 = 54 : 53 answer : d" |
the cash difference between the selling prices of an article at a profit of 8 % and X% is rs . 3 . the ratio of the two selling prices is ?
If the answer to the question is 54 : 53, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. moderate a... | A | the cash difference between the selling prices of an article at a profit of 8 % and 6 % is rs . 3 . the ratio of the two selling prices is ? | "let c . p . of the article be rs . x . then , required ratio = 108 % of x / 106 % of x = 108 / 106 = 54 / 53 = 54 : 53 answer : d" |
the wages earned by robin is X% more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much percent is the wages earned by charles more than that earned by robin ?
If the answer to the question is 33 %, then please select the most appropriate quantifier that is closes... | A | the wages earned by robin is 20 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much percent is the wages earned by charles more than that earned by robin ? | "let wage of erica = 10 wage of robin = 1.2 * 10 = 12 wage of charles = 1.6 * 10 = 16 percentage by which wage earned by charles is more than that earned by robin = ( 16 - 12 ) / 12 * 100 % = 4 / 12 * 100 % = 33 % answer b" |
the wages earned by robin is 20 % more than that earned by erica . the wages earned by charles is X% more than that earned by erica . how much percent is the wages earned by charles more than that earned by robin ?
If the answer to the question is 33 %, then please select the most appropriate quantifier that is closes... | B | the wages earned by robin is 20 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much percent is the wages earned by charles more than that earned by robin ? | "let wage of erica = 10 wage of robin = 1.2 * 10 = 12 wage of charles = 1.6 * 10 = 16 percentage by which wage earned by charles is more than that earned by robin = ( 16 - 12 ) / 12 * 100 % = 4 / 12 * 100 % = 33 % answer b" |
there are two numbers . if X% of the first number is added to the second number , then the second number increases to its 6 - fifth . what is the ratio of the first number to the second number ?
If the answer to the question is 2 : 1, then please select the most appropriate quantifier that is closest to the meaning of... | A | there are two numbers . if 10 % of the first number is added to the second number , then the second number increases to its 6 - fifth . what is the ratio of the first number to the second number ? | let the two numbers be x and y . ( 1 / 10 ) * x + y = ( 6 / 5 ) * y ( 1 / 10 ) * x = ( 1 / 5 ) * y x / y = 2 / 1 = 2 / 1 the answer is e . |
a reduction of X% in the price of bananas would enable a man to obtain 60 more for rs . 40 , what is reduced price per dozen ?
If the answer to the question is 3.2, 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. moderate amo... | D | a reduction of 40 % in the price of bananas would enable a man to obtain 60 more for rs . 40 , what is reduced price per dozen ? | "40 * ( 40 / 100 ) = 16 - - - 60 ? - - - 12 = > rs . 3.2 answer : c" |
a man two flats for $ 675958 each . on one he gains X% while on the other he loses 16 % . how much does he gain or lose in the whole transaction ?
If the answer to the question is 2.56 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. mod... | D | a man two flats for $ 675958 each . on one he gains 16 % while on the other he loses 16 % . how much does he gain or lose in the whole transaction ? | "in such a case there is always a loss loss % = ( 16 / 10 ) ^ 2 = 64 / 25 = 2.56 % answer is b" |
a man two flats for $ 675958 each . on one he gains 16 % while on the other he loses X% . how much does he gain or lose in the whole transaction ?
If the answer to the question is 2.56 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amoun... | A | a man two flats for $ 675958 each . on one he gains 16 % while on the other he loses 16 % . how much does he gain or lose in the whole transaction ? | "in such a case there is always a loss loss % = ( 16 / 10 ) ^ 2 = 64 / 25 = 2.56 % answer is b" |
vijay sells a cupboard at X% below cost price . had he got rs . 1500 more , he would have made a profit of 10 % . what is the cost price of the cupboard ?
If the answer to the question is 7500, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moder... | B | vijay sells a cupboard at 10 % below cost price . had he got rs . 1500 more , he would have made a profit of 10 % . what is the cost price of the cupboard ? | "explanation : cost price = 1500 / ( 0.10 + 0.10 ) = 1500 / 0.20 = rs . 7500 answer b" |
vijay sells a cupboard at 10 % below cost price . had he got rs . 1500 more , he would have made a profit of X% . what is the cost price of the cupboard ?
If the answer to the question is 7500, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny ... | C | vijay sells a cupboard at 10 % below cost price . had he got rs . 1500 more , he would have made a profit of 10 % . what is the cost price of the cupboard ? | "explanation : cost price = 1500 / ( 0.10 + 0.10 ) = 1500 / 0.20 = rs . 7500 answer b" |
there has been successive increases of X% and then 10 % in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ?
If the answer to the question is 24 %, then please select the most appropriate quantifier that is closest to the mean... | D | there has been successive increases of 20 % and then 10 % in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ? | "let p be the original price per unit of gas . let x be the original gas consumption . let y be the reduced gas consumption . y * 1.1 * 1.2 * p = x * p y = x / ( 1.1 * 1.2 ) which is about 0.76 x which is a decrease of about 24 % . the answer is c ." |
there has been successive increases of 20 % and then X% in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ?
If the answer to the question is 24 %, then please select the most appropriate quantifier that is closest to the mean... | B | there has been successive increases of 20 % and then 10 % in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ? | "let p be the original price per unit of gas . let x be the original gas consumption . let y be the reduced gas consumption . y * 1.1 * 1.2 * p = x * p y = x / ( 1.1 * 1.2 ) which is about 0.76 x which is a decrease of about 24 % . the answer is c ." |
the length of a rectangle is increased by X% and its breadth is decreased by 20 % . what is the effect on its area ?
If the answer to the question is 10800, 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. all D. f... | B | the length of a rectangle is increased by 35 % and its breadth is decreased by 20 % . what is the effect on its area ? | "100 * 100 = 10000 135 * 80 = 10800 answer : a" |
the length of a rectangle is increased by 35 % and its breadth is decreased by X% . what is the effect on its area ?
If the answer to the question is 10800, 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. all D. ... | B | the length of a rectangle is increased by 35 % and its breadth is decreased by 20 % . what is the effect on its area ? | "100 * 100 = 10000 135 * 80 = 10800 answer : a" |
if X% more is gained by selling an article for rs . 350 than by selling it for rs . 320 , the cost of the article is
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. none C. few D. small amou... | C | if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 320 , the cost of the article is | "explanation : let c . p . be rs . x . then , 5 % of x = 350 - 320 = 30 x / 20 = 30 = > x = 600 answer : e" |
a person lent a certain sum of money at X% per annum at simple interest and in 8 years the interest amounted to $ 480 less than the sum lent . what was the sum lent ?
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... | D | a person lent a certain sum of money at 5 % per annum at simple interest and in 8 years the interest amounted to $ 480 less than the sum lent . what was the sum lent ? | "p - 480 = ( p * 5 * 8 ) / 100 p = 800 the answer is b ." |
if 1X% of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 30 % of m is equal to what percent of 200 % of j ?
If the answer to the question is 525, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices.... | D | if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 30 % of m is equal to what percent of 200 % of j ? | "imo answer should be 350 . . . consider j = 10 , then k = 50 , l = 150 and m = 350 . . . . 30 % of 350 , comes out to be 105 . . . . 200 % of 10 is 20 . . . . ( 105 * 100 ) / 20 = 525 . . . . ans : c" |
if 125 % of j is equal to 25 % of k , 1X% of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 30 % of m is equal to what percent of 200 % of j ?
If the answer to the question is 525, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices.... | C | if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 30 % of m is equal to what percent of 200 % of j ? | "imo answer should be 350 . . . consider j = 10 , then k = 50 , l = 150 and m = 350 . . . . 30 % of 350 , comes out to be 105 . . . . 200 % of 10 is 20 . . . . ( 105 * 100 ) / 20 = 525 . . . . ans : c" |
if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 1X% of l is equal to 75 % of m , then 30 % of m is equal to what percent of 200 % of j ?
If the answer to the question is 525, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices.... | C | if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 30 % of m is equal to what percent of 200 % of j ? | "imo answer should be 350 . . . consider j = 10 , then k = 50 , l = 150 and m = 350 . . . . 30 % of 350 , comes out to be 105 . . . . 200 % of 10 is 20 . . . . ( 105 * 100 ) / 20 = 525 . . . . ans : c" |
if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then X% of m is equal to what percent of 200 % of j ?
If the answer to the question is 525, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices.... | D | if 125 % of j is equal to 25 % of k , 150 % of k is equal to 50 % of l , and 175 % of l is equal to 75 % of m , then 30 % of m is equal to what percent of 200 % of j ? | "imo answer should be 350 . . . consider j = 10 , then k = 50 , l = 150 and m = 350 . . . . 30 % of 350 , comes out to be 105 . . . . 200 % of 10 is 20 . . . . ( 105 * 100 ) / 20 = 525 . . . . ans : c" |
a big container is X% full with water . if 16 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container in liters ?
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. ... | D | a big container is 35 % full with water . if 16 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container in liters ? | "16 liters is 40 % of the capacity c . 16 = 0.4 c c = 16 / 0.4 = 40 liters . the answer is b ." |
consider a lady took a loan from a bank at the rate of X% p . a . simple interest . after 3 years she had to pay rs . 9900 interest only for the period . the principal amount borrowed by her was
If the answer to the question is rs . 27500, then please select the most appropriate quantifier that is closest to the meani... | D | consider a lady took a loan from a bank at the rate of 12 % p . a . simple interest . after 3 years she had to pay rs . 9900 interest only for the period . the principal amount borrowed by her was | "explanation : principal = rs . ( 100 Γ 9900 / 12 Γ 3 ) = > rs . 27500 . answer : b" |
if the cost price is X% of the selling price , then what is the profit percent ?
If the answer to the question is 4.17 %, 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. all D. tiny amount | C | if the cost price is 96 % of the selling price , then what is the profit percent ? | "let s . p . = $ 100 c . p . = $ 96 profit = $ 4 profit % = 4 / 96 * 100 = 25 / 6 = 4.17 % answer is a" |
a watch was sold at a loss of X% . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ?
If the answer to the question is rs . 1000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. few C.... | B | a watch was sold at a loss of 10 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ? | "explanation : 90 % 104 % - - - - - - - - 14 % - - - - 140 100 % - - - - ? = > rs . 1000 a )" |
a watch was sold at a loss of 10 % . if it was sold for rs . 140 more , there would have been a gain of X% . what is the cost price ?
If the answer to the question is rs . 1000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. some C... | A | a watch was sold at a loss of 10 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ? | "explanation : 90 % 104 % - - - - - - - - 14 % - - - - 140 100 % - - - - ? = > rs . 1000 a )" |
find the simple interest on rs . 68,000 at 16 2 / X% per annum for 9 months .
If the answer to the question is rs . 8500, 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. tiny amount D. all | C | find the simple interest on rs . 68,000 at 16 2 / 3 % per annum for 9 months . | "p = rs . 68000 , r = 50 / 3 % p . a and t = 9 / 12 years = 3 / 4 years . s . i . = ( p * r * t ) / 100 = rs . ( 68,000 * ( 50 / 3 ) * ( 3 / 4 ) * ( 1 / 100 ) ) = rs . 8500 answer is a ." |
because he β s taxed by his home planet , mork pays a tax rate of X% on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 5 times as much as mork did , what was their combined tax rate ?
If the answer to the question is 31.67 %, then please select the most appropriate quantifier that is close... | B | because he β s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 5 times as much as mork did , what was their combined tax rate ? | "say morks income is - 100 so tax paid will be 40 say mindys income is 5 * 100 = 500 so tax paid is 30 % * 500 = 150 total tax paid = 40 + 150 = 190 . combined tax % will be 190 / 100 + 500 = 31.67 %" |
because he β s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only X% on hers . if mindy earned 5 times as much as mork did , what was their combined tax rate ?
If the answer to the question is 31.67 %, then please select the most appropriate quantifier that is close... | A | because he β s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 30 % on hers . if mindy earned 5 times as much as mork did , what was their combined tax rate ? | "say morks income is - 100 so tax paid will be 40 say mindys income is 5 * 100 = 500 so tax paid is 30 % * 500 = 150 total tax paid = 40 + 150 = 190 . combined tax % will be 190 / 100 + 500 = 31.67 %" |
the price of an article is cut by X% . to restore it to the former value . the new price must be increased by ?
If the answer to the question is 11 1 / 9, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. tiny amount C. none D. small amount | A | the price of an article is cut by 10 % . to restore it to the former value . the new price must be increased by ? | answer let original price = rs . 100 . then , new price = rs . 90 . β΄ increased on rs . 90 = rs . 10 required increase % = ( 10 x 100 ) / 90 % = 111 / 9 % correct option : c |
during a sale , the price of a pair of shoes is marked down X% from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ?
If the answer to the question is 11 %, then plea... | D | during a sale , the price of a pair of shoes is marked down 10 % from the regular price . after the sale ends , the price goes back to the original price . what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes ? | "assume the price = 100 price during sale = 90 price after sale = 100 percent increase = 10 / 90 * 100 = 11 % approx . correct option : c" |
a fruit seller had some oranges . he sells X% oranges and still has 600 oranges . how many oranges he had originally ?
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. all B. none C. moderate amount D. most | C | a fruit seller had some oranges . he sells 40 % oranges and still has 600 oranges . how many oranges he had originally ? | "60 % of oranges = 600 100 % of oranges = ( 600 Γ 100 ) / 6 = 1000 total oranges = 1000 answer : c" |
a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by X% but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he sa... | C | a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 40 % but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he ... | i year best is to give a number to his income , say 100 . . and let saving be x . . so expenditure = 100 - x next year - income = 140 savings = 2 x expenditure = 140 - 2 x . . now 140 - 2 x + 100 - x = 2 ( 100 - x ) . . . 240 - 3 x = 200 - 2 x . . . . . . . . . . . . . . . . x = 40 . . . saving % = 40 / 100 * 100 = 40 ... |
a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 40 % but his savings increase by X% . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he sav... | B | a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses . next year his income increases by 40 % but his savings increase by 100 % . if his total expenditure in 2 years is double his expenditure in 1 st year , what % age of his income in the first year did he ... | i year best is to give a number to his income , say 100 . . and let saving be x . . so expenditure = 100 - x next year - income = 140 savings = 2 x expenditure = 140 - 2 x . . now 140 - 2 x + 100 - x = 2 ( 100 - x ) . . . 240 - 3 x = 200 - 2 x . . . . . . . . . . . . . . . . x = 40 . . . saving % = 40 / 100 * 100 = 40 ... |
a money lender lent rs . 1000 at X% per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .
If the answer to the question is 3.2, then please select the most appropriate quantifier that is closest to the meaning of X% from the... | A | a money lender lent rs . 1000 at 4 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years . | ( 1000 xtx 4 / 100 ) + ( 1400 xtx 5 / 100 ) = 350 Γ’ β β t = 3.2 answer a |
a money lender lent rs . 1000 at 4 % per year and rs . 1400 at X% per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .
If the answer to the question is 3.2, then please select the most appropriate quantifier that is closest to the meaning of X% from the... | D | a money lender lent rs . 1000 at 4 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years . | ( 1000 xtx 4 / 100 ) + ( 1400 xtx 5 / 100 ) = 350 Γ’ β β t = 3.2 answer a |
if the sales tax reduced from 3 1 / X% to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of $ 8400 ?
If the answer to the question is 14, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B.... | D | if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of $ 8400 ? | "required difference = [ 3 1 / 2 % of $ 8400 ] β [ 3 1 / 3 % of $ 8400 ] = [ ( 7 / 20 ) - ( 10 / 3 ) ] % of $ 8400 = 1 / 6 % of $ 8400 = $ [ ( 1 / 6 ) * ( 1 / 100 ) * 8400 ] = $ 14 . answer a ." |
if the sales tax reduced from 3 1 / 2 % to 3 1 / X% , then what difference does it make to a person who purchases an article with market price of $ 8400 ?
If the answer to the question is 14, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny am... | A | if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 % , then what difference does it make to a person who purchases an article with market price of $ 8400 ? | "required difference = [ 3 1 / 2 % of $ 8400 ] β [ 3 1 / 3 % of $ 8400 ] = [ ( 7 / 20 ) - ( 10 / 3 ) ] % of $ 8400 = 1 / 6 % of $ 8400 = $ [ ( 1 / 6 ) * ( 1 / 100 ) * 8400 ] = $ 14 . answer a ." |
machine p and machine q are each used to manufacture 770 sprockets . it takes machine p 10 hours longer to produce 770 sprockets than machine q . machine q produces X% more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?
If the answer to the question is 7, then please select th... | A | machine p and machine q are each used to manufacture 770 sprockets . it takes machine p 10 hours longer to produce 770 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ? | "p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 770 / x = 770 / 1.1 x + 10 1.1 ( 770 ) = 770 + 11 x 11 x = 77 x = 7 the answer is c ." |
weights of two friends ram and shyam are in the ratio 3 : 5 . if ram ' s weight is increased by X% and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?
If the answer to the question is 18 %, then please select the most appropriate ... | B | weights of two friends ram and shyam are in the ratio 3 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ? | "solution : given ratio of ram and shayam ' s weight = 3 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 3 / 5 or , x = 18 % . answer : option a" |
weights of two friends ram and shyam are in the ratio 3 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of X% . by what percent did the weight of shyam has to be increased ?
If the answer to the question is 18 %, then please select the most appropriate ... | A | weights of two friends ram and shyam are in the ratio 3 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ? | "solution : given ratio of ram and shayam ' s weight = 3 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 3 / 5 or , x = 18 % . answer : option a" |
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 26 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the follo... | D | a trader bought a car at 30 % 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 = 70 s = 70 * ( 180 / 100 ) = 126 100 - 126 = 26 % answer : b" |
a trader bought a car at 30 % 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 26 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the follo... | D | a trader bought a car at 30 % 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 = 70 s = 70 * ( 180 / 100 ) = 126 100 - 126 = 26 % answer : b" |
the wages earned by robin is X% more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ?
If the answer to the question is 28.57 %, then please select the most appropriate quantifier that is closest t... | C | the wages earned by robin is 40 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ? | "explanatory answer let the wages earned by erica be $ 100 then , wages earned by robin and charles will be $ 140 and $ 160 respectively . charles earns $ 40 more than robin who earns $ 140 . therefore , charles ' wage is 40 / 140 * 100 = 28.57 % . the correct choice is ( c )" |
the wages earned by robin is 40 % more than that earned by erica . the wages earned by charles is X% more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ?
If the answer to the question is 28.57 %, then please select the most appropriate quantifier that is closest t... | D | the wages earned by robin is 40 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ? | "explanatory answer let the wages earned by erica be $ 100 then , wages earned by robin and charles will be $ 140 and $ 160 respectively . charles earns $ 40 more than robin who earns $ 140 . therefore , charles ' wage is 40 / 140 * 100 = 28.57 % . the correct choice is ( c )" |
a person buys an article at $ 380 . at what price should he sell the article so as to make a profit of X% ?
If the answer to the question is 475, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. moderate amount C. some D. small amount | C | a person buys an article at $ 380 . at what price should he sell the article so as to make a profit of 25 % ? | "c 475 cost price = $ 380 profit = 25 % of 380 = $ 95 selling price = cost price + profit = 380 + 95 = 475" |
in certain code ' twice ' is written as ' 34 $ 5 Ξ΄ ' and ' wears ' is written as ' 4 Ξ΄ X% ' . how is ' seat ' written in that code ?
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. some B. most C. tiny amount D... | A | in certain code ' twice ' is written as ' 34 $ 5 Ξ΄ ' and ' wears ' is written as ' 4 Ξ΄ 29 % ' . how is ' seat ' written in that code ? | answer : option b |
a tank holds x gallons of a saltwater solution that is X% salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 20 gallons of water and 40 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ?
If the answer to the question is 300, th... | B | a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 20 gallons of water and 40 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? | "nope , 150 . i can only get it by following pr ' s backsolving explanation . i hate that . original mixture has 20 % salt and 80 % water . total = x out of which salt = 0.2 x and water = 0.8 x now , 1 / 4 water evaporates and all salt remains . so what remains is 0.2 x salt and 0.6 x water . now 40 gallons salt is add... |
a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 20 gallons of water and 40 gallons of salt are added , the resulting mixture is 33 1 / X% salt by volume . what is the value of x ?
If the answer to the question is 300, t... | B | a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 20 gallons of water and 40 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? | "nope , 150 . i can only get it by following pr ' s backsolving explanation . i hate that . original mixture has 20 % salt and 80 % water . total = x out of which salt = 0.2 x and water = 0.8 x now , 1 / 4 water evaporates and all salt remains . so what remains is 0.2 x salt and 0.6 x water . now 40 gallons salt is add... |
if 20 liters of chemical x are added to 80 liters of a mixture that is X% chemical x and 75 % chemical y , then what percentage of the resulting mixture is chemical x ?
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 choi... | A | if 20 liters of chemical x are added to 80 liters of a mixture that is 25 % chemical x and 75 % chemical y , then what percentage of the resulting mixture is chemical x ? | the amount of chemical x in the solution is 20 + 0.25 ( 80 ) = 40 liters . 40 liters / 100 liters = 40 % the answer is d . |
if 20 liters of chemical x are added to 80 liters of a mixture that is 25 % chemical x and X% chemical y , then what percentage of the resulting mixture is chemical x ?
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 choi... | B | if 20 liters of chemical x are added to 80 liters of a mixture that is 25 % chemical x and 75 % chemical y , then what percentage of the resulting mixture is chemical x ? | the amount of chemical x in the solution is 20 + 0.25 ( 80 ) = 40 liters . 40 liters / 100 liters = 40 % the answer is d . |
a number increased by X% gives 600 . the number is
If the answer to the question is 500, 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 | C | a number increased by 20 % gives 600 . the number is | "formula = total = 100 % , increse = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 20 % = 120 % 120 % - - - - - - - > 600 ( 120 Γ 5 = 600 ) 100 % - - - - - - - > 500 ( 100 Γ 5 = 500 ) d )" |
when a laptop is sold for rs . 49,000 , the owner loses X% . at what price must that laptop be sold in order to gain 30 % ?
If the answer to the question is 91000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. none C. moderate amount D. s... | C | when a laptop is sold for rs . 49,000 , the owner loses 30 % . at what price must that laptop be sold in order to gain 30 % ? | 70 : 49000 = 130 : x x = ( 49000 x 130 ) / 70 = 91000 . hence , s . p . = rs . 91,000 . answer : option e |
when a laptop is sold for rs . 49,000 , the owner loses 30 % . at what price must that laptop be sold in order to gain X% ?
If the answer to the question is 91000, 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. moder... | D | when a laptop is sold for rs . 49,000 , the owner loses 30 % . at what price must that laptop be sold in order to gain 30 % ? | 70 : 49000 = 130 : x x = ( 49000 x 130 ) / 70 = 91000 . hence , s . p . = rs . 91,000 . answer : option e |
the cost price of an article is X% of the marked price . calculate the gain percent after allowing a discount of 15 % ?
If the answer to the question is 32.8 %, 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. moderat... | A | the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 15 % ? | "let marked price = rs . 100 . then , c . p . = rs . 64 , s . p . = rs . 85 gain % = 21 / 64 * 100 = 32.8 % . answer : a" |
the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of X% ?
If the answer to the question is 32.8 %, 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. small amount | D | the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 15 % ? | "let marked price = rs . 100 . then , c . p . = rs . 64 , s . p . = rs . 85 gain % = 21 / 64 * 100 = 32.8 % . answer : a" |
a farmer spent $ 35 on feed for chickens and goats . he spent X% money on chicken feed , which he bought at a 30 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spe... | D | a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 30 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have s... | "a farmer spent 40 % money on chicken feed , so he spent 0.4 * $ 35 = $ 14 on chicken feed , thus he spent the remaining 35 - 14 = $ 21 on goat feed . now , since he bought chicken feed at a 30 % discount then the original price of it was x * 0.7 = $ 14 - - > x = $ 20 . therefore if the farmer had paid full price for b... |
a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a X% discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spe... | A | a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 30 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have s... | "a farmer spent 40 % money on chicken feed , so he spent 0.4 * $ 35 = $ 14 on chicken feed , thus he spent the remaining 35 - 14 = $ 21 on goat feed . now , since he bought chicken feed at a 30 % discount then the original price of it was x * 0.7 = $ 14 - - > x = $ 20 . therefore if the farmer had paid full price for b... |
a pair of articles was bought for $ 50 at a discount of X% . what must be the marked price of each of the article ?
If the answer to the question is $ 12.50, 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.... | A | a pair of articles was bought for $ 50 at a discount of 50 % . what must be the marked price of each of the article ? | "s . p . of each of the article = 50 / 2 = $ 25 let m . p = $ x 50 % of x = 25 x = 25 * . 5 = $ 12.50 answer is b" |
a tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride . the proportion of sodium chloride in the tank is X% by volume and the capacity of the tank is 24 gallons . if the water evaporates from the tank at the rate of 0.5 gallons per hour , and the amount of sodium chlorid... | A | a tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride . the proportion of sodium chloride in the tank is 40 % by volume and the capacity of the tank is 24 gallons . if the water evaporates from the tank at the rate of 0.5 gallons per hour , and the amount of sodium chlor... | the number of gallons in the tank is ( 1 / 4 ) 24 = 6 gallons the amount of sodium chloride is 0.4 ( 6 ) = 2.4 gallons at the start , the amount of water is 0.6 ( 6 ) = 3.6 gallons after 6 hours , the amount of water is 3.6 - 0.5 ( 6 ) = 0.6 gallons the concentration of water is 0.6 / ( 2.4 + 0.6 ) = 2 / 10 = 20 % the ... |
a reduction of X% in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?
If the answer to the question is 64, 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... | B | a reduction of 40 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ? | "800 * ( 40 / 100 ) = 320 - - - - 5 ? - - - - 1 = > rs . 64 answer : c" |
after decreasing X% in the price of an article costs rs . 320 . find the actual cost of an article ?
If the answer to the question is 1600, 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. moderate amount D. tiny amount | A | after decreasing 80 % in the price of an article costs rs . 320 . find the actual cost of an article ? | "cp * ( 20 / 100 ) = 320 cp = 16 * 100 = > cp = 1600 answer : e" |
a money lender finds that due to a fall in the annual rate of interest from X% to 7 1 / 5 % his yearly income diminishes by rs . 61.50 . his capital is
If the answer to the question is 76.88, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. ... | B | a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 1 / 5 % his yearly income diminishes by rs . 61.50 . his capital is | explanation : capital = rs . x , then 4 / 5 x = 61.5 x = 76.88 answer : c ) rs . 76.88 |
a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 1 / X% his yearly income diminishes by rs . 61.50 . his capital is
If the answer to the question is 76.88, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderat... | D | a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 1 / 5 % his yearly income diminishes by rs . 61.50 . his capital is | explanation : capital = rs . x , then 4 / 5 x = 61.5 x = 76.88 answer : c ) rs . 76.88 |
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 249 marks in the second test and failed by 66 marks in that test . find the pass mark in the first test ?
If the answer to the question is 280, then please select the most appr... | 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 249 marks in the second test and failed by 66 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 66 marks in the second test . pass mark in the second test = 249 + 66 = 315 45 / 100 m = 315 pass mark in the first test = 40 / 100 m = 40 / 45 * 315 = 280 . 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 249 marks in the second test and failed by 66 marks in that test . find the pass mark in the first test ?
If the answer to the question is 280, then please select the most appr... | 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 249 marks in the second test and failed by 66 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 66 marks in the second test . pass mark in the second test = 249 + 66 = 315 45 / 100 m = 315 pass mark in the first test = 40 / 100 m = 40 / 45 * 315 = 280 . answer : d" |
a number increased by X% gives 780 . the number is
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. most B. some C. all D. moderate amount | D | a number increased by 30 % gives 780 . the number is | "formula = total = 100 % , increse = ` ` + ' ' decrease = ` ` - ' ' a number means = 100 % that same number increased by 30 % = 130 % 130 % - - - - - - - > 780 ( 130 Γ 6 = 780 ) 100 % - - - - - - - > 600 ( 100 Γ 6 = 600 ) d )" |
in the fifth grade at parkway elementary school there are 420 students . 312 students are boys and 250 students are playing soccer . X% of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?
If the answer to the question is 83 ., then please select the most approp... | B | in the fifth grade at parkway elementary school there are 420 students . 312 students are boys and 250 students are playing soccer . 90 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ? | "total students = 420 boys = 312 , girls = 108 total playing soccer = 250 90 % of 250 = 225 are boys who play soccer . girls who play soccer = 25 . total girls who do not play soccer = 108 - 25 = 83 . correct option : b" |
john bought a shirt on sale for X% off the original price and another 25 % off the discounted price . if the final price was $ 14 , what was the price before the first discount ?
If the answer to the question is $ 24.88, then please select the most appropriate quantifier that is closest to the meaning of X% from the f... | B | john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 14 , what was the price before the first discount ? | "let x be the price before the first discount . the price after the first discount is x - 25 % x ( price after first discount ) a second discount of 25 % of the discounted price after which the final price is 14 ( x - 25 % x ) - 25 % ( x - 25 % x ) = 14 solve for x x = $ 24.88 correct answer c" |
john bought a shirt on sale for 25 % off the original price and another X% off the discounted price . if the final price was $ 14 , what was the price before the first discount ?
If the answer to the question is $ 24.88, then please select the most appropriate quantifier that is closest to the meaning of X% from the f... | A | john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 14 , what was the price before the first discount ? | "let x be the price before the first discount . the price after the first discount is x - 25 % x ( price after first discount ) a second discount of 25 % of the discounted price after which the final price is 14 ( x - 25 % x ) - 25 % ( x - 25 % x ) = 14 solve for x x = $ 24.88 correct answer c" |
daniel went to a shop and bought things worth rs . 25 , out of which 60 paise went on sales tax on taxable purchases . if the tax rate was X% , then what was the cost of the tax free items ?
If the answer to the question is a ) 14.4, then please select the most appropriate quantifier that is closest to the meaning of ... | D | daniel went to a shop and bought things worth rs . 25 , out of which 60 paise went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ? | "total cost of the items he purchased = rs . 25 given that out of this rs . 25 , 30 paise is given as tax = > total tax incurred = 60 paise = rs . 60 / 100 let the cost of the tax free items = x given that tax rate = 6 % β΄ ( 25 β 60 / 100 β x ) 6 / 100 = 60 / 100 β 6 ( 25 β 0.6 β x ) = 60 β ( 25 β 0.6 β x ) = 10 β x = ... |
if X% of a certain number is 160 , then what is 90 % of that number ?
If the answer to the question is 360, 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. small amount | A | if 40 % of a certain number is 160 , then what is 90 % of that number ? | "explanation : 40 % = 40 * 4 = 160 90 % = 90 * 4 = 360 answer : option d" |
if 40 % of a certain number is 160 , then what is X% of that number ?
If the answer to the question is 360, 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. some D. all | D | if 40 % of a certain number is 160 , then what is 90 % of that number ? | "explanation : 40 % = 40 * 4 = 160 90 % = 90 * 4 = 360 answer : option d" |
a candidate got X% of the votes polled and he lost to his rival by 2430 votes . how many votes were cast ?
If the answer to the question is 8100, 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. some D. all | B | a candidate got 35 % of the votes polled and he lost to his rival by 2430 votes . how many votes were cast ? | "35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % - - - - - - - - - - 2430 100 % - - - - - - - - - ? = > 8100 answer : c" |
population of a city in 20004 was 1000000 . if in 2005 there isan increment of X% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007
If the answer to the question is 1083875, then please select the most appropriate quantifier ... | D | population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007 | "required population = p ( 1 + r 1 / 100 ) ( 1 - r 2 / 100 ) ( 1 + r 3 / 100 ) = p ( 1 + 15 / 100 ) ( 1 - 35 / 100 ) ( 1 + 45 / 100 ) = 1083875 e" |
population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of X% and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007
If the answer to the question is 1083875, then please select the most appropriate quantifier ... | C | population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007 | "required population = p ( 1 + r 1 / 100 ) ( 1 - r 2 / 100 ) ( 1 + r 3 / 100 ) = p ( 1 + 15 / 100 ) ( 1 - 35 / 100 ) ( 1 + 45 / 100 ) = 1083875 e" |
population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of X% , then find the population of city atthe end of the year 2007
If the answer to the question is 1083875, then please select the most appropriate quantifier ... | B | population of a city in 20004 was 1000000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007 | "required population = p ( 1 + r 1 / 100 ) ( 1 - r 2 / 100 ) ( 1 + r 3 / 100 ) = p ( 1 + 15 / 100 ) ( 1 - 35 / 100 ) ( 1 + 45 / 100 ) = 1083875 e" |
45 x ? = X% of 900
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. some D. few | C | 45 x ? = 25 % of 900 | "answer let 45 x a = ( 25 x 900 ) / 100 β΄ a = ( 25 x 9 ) / 45 = 5 correct option : c" |
if there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is X% of the total . what fraction of the total is men who own cars ?
If the answer to the question is 1 β 10, then please select the most appropriate quantifier that is closest to the meaning of X% ... | A | if there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total . what fraction of the total is men who own cars ? | consider a group of 100 men and 300 women , a total of 400 people . 30 % of them , which is 120 , form a group of people who do n ' t own a car . half of them are men , and the other half are women , more precisely 60 . it means that there are 100 - 60 = 40 men who own a car , and this represents 40 / 400 = 1 / 10 of t... |
an auction house charges a commission of X% on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ?
If the answer to the question is $ 205, then please select ... | A | an auction house charges a commission of 17 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ? | "say the price of the house was $ x , then 0.17 * 50,000 + 0.1 * ( x - 50,000 ) = 24,000 - - > x = $ 205,000 ( 17 % of $ 50,000 plus 10 % of the amount in excess of $ 50,000 , which is x - 50,000 , should equal to total commission of $ 24,000 ) . answer : c ." |
an auction house charges a commission of 17 % on the first $ 50,000 of the sale price of an item , plus X% on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ?
If the answer to the question is $ 205, then please select ... | D | an auction house charges a commission of 17 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ? | "say the price of the house was $ x , then 0.17 * 50,000 + 0.1 * ( x - 50,000 ) = 24,000 - - > x = $ 205,000 ( 17 % of $ 50,000 plus 10 % of the amount in excess of $ 50,000 , which is x - 50,000 , should equal to total commission of $ 24,000 ) . answer : c ." |
sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been X% more . she would get how much ?
If the answer to the question is 9560, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. tiny a... | B | sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 1.5 % more . she would get how much ? | ( 8000 * 3 * 1.5 ) / 100 = 360 9200 - - - - - - - - 9560 answer : a |
if an article is sold at X% profit instead of 9 % profit , then the profit would be $ 54 more . what is the cost price ?
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. some B. none C. small amount D. all | C | if an article is sold at 18 % profit instead of 9 % profit , then the profit would be $ 54 more . what is the cost price ? | 9 % * cost price = $ 54 1 % * cost price = $ 54 / 9 = $ 6 the cost price is $ 600 . the answer is b . |
if an article is sold at 18 % profit instead of X% profit , then the profit would be $ 54 more . what is the cost price ?
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. small amount B. few C. tiny amount D.... | B | if an article is sold at 18 % profit instead of 9 % profit , then the profit would be $ 54 more . what is the cost price ? | 9 % * cost price = $ 54 1 % * cost price = $ 54 / 9 = $ 6 the cost price is $ 600 . the answer is b . |
in a fuel station the service costs $ 1.50 per car , every liter of fuel costs 0.35 $ . assuming that you own 3 limos and 2 fleet vans and all fuel tanks are empty . how much will it cost to fuel all cars together if a limo tank is 32 liters and an fleet van tank is X% bigger ?
If the answer to the question is $ 78.80... | B | in a fuel station the service costs $ 1.50 per car , every liter of fuel costs 0.35 $ . assuming that you own 3 limos and 2 fleet vans and all fuel tanks are empty . how much will it cost to fuel all cars together if a limo tank is 32 liters and an fleet van tank is 75 % bigger ? | "lots of calculations . 1.50 * 4 + 3 * . 35 * 32 + 2 * ( 7 / 4 ) * 32 * . 35 answer = $ 78.80 the correct option is a" |
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