Cluster · Ratio and Proportion Word Problems
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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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-624503
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quant | — | intermediate | |
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The ratio of three numbers is 5 : 6 : 7. If the sum of the three numbers is 540, then what is the smallest number among the three numbers? pipeline-624492
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quant | — | intermediate | |
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If a : b = 7 : 4, then what is the value of (6a + b) : (6a - b)? pipeline-623482
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quant | — | intermediate | |
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If A : B = 3 : 7 and B : C = 2 : 5, find A : B : C. pipeline-669020
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quant | — | intermediate | |
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The ratio between two numbers is 7 : 8. If each number is increased by 4, the ratio becomes 9 : 10, then find the difference between the numbers. pipeline-623622
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quant | — | intermediate | |
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If P : Q = 3 : 4 and Q : R = 4 : 7, then find the value of (P + Q) : (Q + R) : (R + P). pipeline-676719
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quant | — | intermediate | |
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The ratio of two numbers is 5 : 6. If their product is 1920, what is the sum of both numbers? pipeline-623486
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quant | — | intermediate | |
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If p : q = 4 : 5, q : r = 3 : 4 and r : s = 2 : 5, then p : s is: pipeline-582176
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quant | — | intermediate | |
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Two numbers are in the ratio of 3 : 7. If 11 is subtracted from each, the ratio between the numbers becomes 7 : 20. Find the smaller number. pipeline-668372
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quant | — | intermediate | |
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If D : E = 3 : 2 and D - E = 9, find the value of D + E. pipeline-624495
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quant | — | intermediate | |
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Four numbers are in the ratio 1 : 2 : 3 : 5. Two times their sum is 44. Find the ratio in the numbers obtained by subtracting 3 from the cube of each number. pipeline-582294
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quant | — | intermediate | |
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Four numbers are in the ratio of 7 : 8 : 9 : 10. Sum of these numbers is 68. What will be the sum of the first and fourth numbers? pipeline-624181
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quant | — | intermediate | |
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Two numbers are in the ratio 3 : 8. If 8 is added to each number, then the ratio becomes 1 : 2. If 4 is subtracted from each number, then the ratio will become: pipeline-467984
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quant | — | intermediate | |
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Two numbers are in the ratio of 5 : 7. If 6 is added to each, the ratio becomes 3 : 4. Find the numbers. pipeline-391201
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quant | — | intermediate | |
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If (5x - 2y) : (x - 2y) = 9 : 17, then find the value of (9x/13y). pipeline-466806
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quant | — | intermediate | |
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If a: b is 4 : 6 and b : c is 10 : 11, then c : a is : pipeline-487349
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quant | — | intermediate | |
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If a ∶ b = c ∶ d, then which of the following ratio is equal to a ∶ c? pipeline-396049
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quant | — | intermediate | |
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If A : B = 5 : 8 and B : C = 4 : 7, then find the value of A : B : C. pipeline-487733
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quant | — | intermediate | |
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If (2a + b)/(a + 4b) = 1, then what is the value of (a + b)/(a - b)? pipeline-487735
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quant | — | intermediate | |
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The difference between the two numbers is 15% of their sum. Find the ratio of the smaller number to the larger number. pipeline-469162
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quant | — | intermediate | |
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If 85% of (x - y) = 35% of (x + y), then y is what percentage of x? pipeline-490812
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quant | percentage | intermediate | |
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If x : y = 1 : 2, find the value of (2x + 4y) : (x + 4y). pipeline-290775
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quant | — | intermediate | |
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If X = 50 and Y = 25, then X is how much percentage more than Y? pipeline-623615
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quant | percentage | intermediate | |
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If a ∶ b = 2 ∶ 3 and b ∶ c = 6 ∶ 8, then find a ∶ b ∶ c. pipeline-307109
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quant | — | intermediate | |
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If A ∶ B = 5 ∶ 6 and B ∶ C = 6 ∶ 7, then (A + B) ∶ (B + C) ∶ (C + A) is: pipeline-466970
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quant | — | intermediate | |
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The difference between two numbers is 48. The ratio of these two numbers is 7 : 3. What is the sum of the two numbers? pipeline-670598
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quant | — | intermediate | |
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If P : Q = 10 ∶ 11 and Q ∶ R = 11 ∶ 12, then P + Q ∶ Q + R ∶ R + P is: pipeline-286353
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quant | — | intermediate | |
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If p : q = 1 : 2, what is the value of \(\frac{2p + 3q}{4p+5q}?\) pipeline-490107
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quant | — | 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-512185
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quant | — | intermediate | |
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If A = \(\frac{2}{3}\)B and B = \(\frac{3}{5}\)C then, what is A : B : C? pipeline-513723
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quant | — | intermediate | |
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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-511995
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quant | — | intermediate | |
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If 90 is divided into two parts in the ratio of 2 : 3, then what are the values of two parts? pipeline-490094
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quant | — | intermediate | |
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If 18 percent of A is equal to 40 percent of B, then what is the ratio of A : B? pipeline-491829
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quant | percentage | intermediate | |
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If a ∶ b = 5 ∶ 1, then what is the value of 3a + 4b ∶ 3a - 4b? pipeline-511469
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quant | — | 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-518900
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quant | — | intermediate | |
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Two numbers P and Q are such that the sum of 10% of P and 5% of Q is one-fourth of the sum of 15% of P and 25% of Q. Find the ratio of P to Q. pipeline-492968
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quant | — | intermediate | |
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If \(\frac{a}{6}\) = \(\frac{b}{10}\)= \(\frac{c}{4}\), then \(\frac{a+b+c}{a}\) is equal to: pipeline-519430
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quant | — | intermediate | |
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If the ratio of X to Y is 3 : 4, then determine the relationship between X and Y. pipeline-516578
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quant | — | intermediate | |
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Three numbers are in the ratio 15 : 17 : 19. If the difference between thrice the third number and the sum of the first and second numbers is 625. Find the difference between the first and third numbers. pipeline-532750
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quant | — | intermediate | |
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If a + b : b + c : c + a = 2 : 3 : 5 and a + b + c = 20, then the value of c is: pipeline-520232
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quant | — | 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 number is 841. Find the difference between the first and third numbers. pipeline-530585
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quant | — | intermediate | |
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The sum of two digits of a number is 10. If the digits are interchanged, then its value increases by 18. Find the number. pipeline-14638
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quant | — | intermediate | |
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Of the two numbers, 28% of the first is equal to 64% of the second. What is the ratio of the first and second numbers? pipeline-529414
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quant | — | intermediate | |
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If 20% of 420 is x% less than 40% of 530, find x. (Up to two decimals) pipeline-536749
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quant | — | intermediate | |
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Which relation is correct for 6 : 11 and 8 : 9? pipeline-520496
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quant | — | intermediate | |
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If the sum of digits is 9 and the difference between the digit in the ten's place and the unit's place is 1, then the two-digit number is: pipeline-16286
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quant | — | intermediate | |
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If 25% of 400 is x% less than 40% of 510, find x. (Up to two decimals) pipeline-541446
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quant | — | intermediate | |
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Three numbers are in the ratio 11 : 13 : 15. If the difference between thrice the third number and the sum of first and second number is 441. Find the difference between the smallest and largest number. pipeline-530747
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quant | — | intermediate | |
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Two numbers are in the ratio 5 : 6. When 6 is added to each, the ratio becomes 7 : 8, what are the numbers? pipeline-29288
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quant | — | intermediate | |
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If 3A = 2B = C, then A : B : C = ? pipeline-16897
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quant | — | intermediate |