Cluster · Ratio and Proportion Word Problems
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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If I ∶ m = 2 ∶ 7, m ∶ n = 3 ∶ 4 and n ∶ k = 14 ∶ 5, then I ∶ m ∶ n ∶ k is: pipeline-1132097
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delhi_police | — | intermediate | |
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Two numbers P and Q are such that the sum of 8% of P and 4% of Q is two-thirds of the sum of 5% of P and 7% of Q. Find the ratio P : Q. pipeline-1112537
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delhi_police | — | intermediate | |
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a:b = 5:8 and b:c = 2:6. if a = 25, then find the value of c. pipeline-1112528
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delhi_police | — | intermediate | |
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If p : q : r = 2 : 5 : 3 and r : s = 6 : 5, then what is the value of p : q : r : s? pipeline-1106750
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delhi_police | — | intermediate | |
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If 70% of (x - y) = 20% of (x + y), then what percent of x is y? pipeline-1102586
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delhi_police | percentage | intermediate | |
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Two positive numbers are in the ratio 7 : 4. If the difference between their squares is 297, then the sum of the two numbers is: pipeline-1094622
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delhi_police | — | intermediate | |
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The sum of three numbers A, B, and C is 1005. The ratio of A : B is 3 : 5 and B : C is 4 : 7. Find the value of A and C together. pipeline-1090237
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delhi_police | — | intermediate | |
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The compound ratio of 3 : 4 and 6 : 7 is 36 : x. Find x. pipeline-1094616
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delhi_police | — | intermediate | |
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A is 5 percent more than B and B is 10 percent more than C, then by what percentage is A more than C. pipeline-1097005
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delhi_police | percentage | intermediate | |
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If x : y = 1 : 2, find the value of (2x + 4y) : (x + 4y). pipeline-1083902
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delhi_police | — | intermediate | |
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Three numbers are in the ratio 19 : 21 : 23. If the difference between thrice the third number and the sum of the first and second numbers is 841. Find the difference between the first and third numbers? pipeline-1154931
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delhi_police | — | intermediate | |
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If A : B = 17 : 7 & B : C = 7 : 17, find A : C. pipeline-1192788
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delhi_police | — | intermediate | |
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If \(\frac{1}{M}\) : \(\frac{1}{N}\) : \(\frac{1}{O}\) = 3 : 4 : 5, then M : N : O is equal to: pipeline-1145708
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delhi_police | — | intermediate | |
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If \(\frac{x}{4y}\) = \(\frac{3}{4}\), then the value of \(\frac{2x + 3y}{x - 2y}\) is: pipeline-1133792
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delhi_police | — | intermediate | |
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Two numbers are, respectively, 30% and 40% more than the third number. The ratio of the second number to the first number is: pipeline-1131196
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delhi_police | — | intermediate | |
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If a : b = 18 : 17 and b : c = 19 : 21 then, find the ratio of a : c : b. pipeline-1094404
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delhi_police | — | intermediate | |
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If A = \({1\over4}\)B , B = \({1\over3}\)C and, C = \(1\over2\)D then, find C : D : A : B. pipeline-1102179
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delhi_police | — | intermediate | |
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There are three numbers. If the ratio of the first to the second number is 2 : 7 and that of the second to the third number is 5 : 8, then the ratio of the first to the third number is: pipeline-1086776
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delhi_police | — | intermediate | |
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If a, b and c are positive numbers such that (a2 + b2): (b2 + c2): (c2 + a2) = 34 : 61 : 45, then a : b : c = ? pipeline-1082817
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delhi_police | — | intermediate | |
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How much should we add to each of 7 and 9 so that the ratio of the two numbers thus formed is 13: 14. pipeline-1157941
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delhi_police | — | intermediate | |
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If the numerator of a fraction is decreased by 80% and the denominator of the fraction is decreased by 60%, then the resultant fraction is \(\frac{5}{6}\), What is the original fraction? pipeline-1145900
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delhi_police | — | intermediate | |
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If 45% of Ram’s money is added to 50% of Soham’s money, then the total amount will be 86% of Soham’s money. What percentage of Ram’s money did Soham have? pipeline-1173344
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delhi_police | percentage | intermediate | |
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The ratio of two numbers is 5 : 8, when the smaller number is increased by 28% and larger number is decreased by 40%, this ratio becomes: pipeline-1198723
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delhi_police | — | intermediate | |
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If the sum of 30% of A and 40% of B, is two-third of the sum of 60% of A and 40% of B, then what is the ratio of A and B? pipeline-1173359
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delhi_police | — | intermediate | |
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The numerator of a fraction is increased by 88% and the denominator is increased by 55%. The value of the fraction becomes 1504/775. What is the original fraction? pipeline-1086735
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delhi_police | — | intermediate | |
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The Sum of 25% percent of A and 20% of B is equal to 8% of the number C. Also, the sum of 15% of A and 30% of B is equal to 7.5% of C. Find the difference between A and B. (Given C = 4000) pipeline-1086720
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delhi_police | percentage | intermediate | |
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An interval of 2 hours 25 minutes is wrongly estimated by 2 hours 30.5 minutes. The error percentage is: pipeline-1094744
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delhi_police | — | intermediate | |
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If (9g + 2h) : (9g - 2h) = 9 : 2, then what is the value of g : h? pipeline-1103328
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delhi_police | — | intermediate | |
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If A : B = 3 : 7 and B : C = 2 : 5, find A : B : C. pipeline-1085524
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delhi_police | — | intermediate | |
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If a ∶ b = 2 ∶ 3 and b ∶ c = 6 ∶ 8, then find a ∶ b ∶ c. pipeline-1083737
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delhi_police | — | intermediate | |
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There are three numbers, P, Q, and R. 30% of P is equal to 15% of Q. 20% of Q is equal to 10% of R. By what percentage is R more than P? pipeline-1224570
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delhi_police | percentage | intermediate | |
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Find three numbers in the ratio of 6 : 4 : 10 such that the sum of their squares is equal to 3800. pipeline-1161183
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delhi_police | — | intermediate | |
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What should be added to each term of the ratio 5 : 11 so that the ratio becomes 3 : 5? pipeline-1157837
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delhi_police | — | intermediate | |
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A quantity \(\frac{4}{5}\) is changed to \(\frac{5}{6}\). How much percentage change is given to the quantity? pipeline-1155388
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delhi_police | — | intermediate | |
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The ratio of two numbers x and y is 4 : 7. If 6 is added to x and 7 is subtracted from y, then their ratio becomes 3 ∶ 4. What is the difference between x and y? pipeline-1133339
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delhi_police | — | intermediate | |
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The sum of the two numbers is 98. The difference between the two numbers is 28. Find one of the two numbers. pipeline-1111643
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delhi_police | — | intermediate | |
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The sum of the two numbers is 76. Three times the larger number is 46 more than four times the smaller one. Find the two numbers. pipeline-1102536
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delhi_police | — | intermediate | |
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By how much 70% of 120 is greater than 40% of 80. pipeline-1111634
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delhi_police | — | intermediate | |
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Two numbers are, respectively, 10% and 25% more than the third number. The ratio of the two numbers is: pipeline-1086635
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delhi_police | — | intermediate | |
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27 percent of a number exceeds 13 percent of the same number by 56. What is the value of the number? pipeline-1023256
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railways | percentage | intermediate | |
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By how much 70% of 120 is greater than 40% of 80. pipeline-1022131
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railways | — | intermediate | |
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If A : B : C = 8 : 14 : 13 & the difference between A and C is 22.75. Find the value of B. pipeline-1022135
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railways | — | intermediate | |
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If the ratio of two numbers a and b is 3 : 5, such that a, b > 0, find the value of \(|{(a + b)\over(a-b)}| \). pipeline-1022126
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railways | — | intermediate | |
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If 30% of the number A is 55% of B, it is given that A + B = 51. Find the value of A/3 + B2. pipeline-854223
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railways | — | intermediate | |
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If the sum of 30% of A and 40% of B, is two-third of the sum of 60% of A and 40% of B, then what is the ratio of A and B? pipeline-988655
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railways | — | intermediate | |
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If a/b is a fraction, where a = b - 3 and (a + 10)/b - a/b = 10/7 , then find a/b. pipeline-988093
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railways | — | intermediate | |
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The ratio of a : b is 5 : 3. If 4 is added to both of them the ratio becomes 7 : 5. What is the original value of a, and b? pipeline-853699
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railways | — | intermediate | |
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If a : b = 18 : 17 and b : c = 19 : 21 then, find the ratio of a : c : b. pipeline-846773
|
railways | — | intermediate | |
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If 3/4 of A = 5/6 of B = 4/3 of C = 5/4 of D. Then B is what percent more than C? pipeline-828059
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railways | percentage | intermediate | |
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A student multiplies a number by 6/5 instead of 5/6. What is the percentage error in the result? pipeline-846758
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railways | — | intermediate |