Cluster · Ratio and Proportion Word Problems

d
Clusters / #1138
tight score 0.27

Ratio Percentage and Number Problems
Questions
508
Questions in this cluster
507 total
Question Category Subtype Difficulty

If I ∶ m = 2 ∶ 7, m ∶ n = 3 ∶ 4 and n ∶ k = 14 ∶ 5, then I ∶ m ∶ n ∶ k is:

pipeline-1132097
delhi_police intermediate

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
delhi_police intermediate

a:b = 5:8 and b:c = 2:6. if a = 25, then find the value of c.

pipeline-1112528
delhi_police intermediate

If p : q : r = 2 : 5 : 3 and r : s = 6 : 5, then what is the value of p : q : r : s?

pipeline-1106750
delhi_police intermediate

If 70% of (x - y) = 20% of (x + y), then what percent of x is y?

pipeline-1102586
delhi_police percentage intermediate

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
delhi_police intermediate

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
delhi_police intermediate

The compound ratio of 3 : 4 and 6 : 7 is 36 : x. Find x.

pipeline-1094616
delhi_police intermediate

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
delhi_police percentage intermediate

 If x : y = 1 : 2, find the value of (2x + 4y) : (x + 4y).

pipeline-1083902
delhi_police intermediate

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
delhi_police intermediate

If A : B = 17 : 7 & B : C = 7 : 17, find A : C.

pipeline-1192788
delhi_police intermediate

If \(\frac{1}{M}\) : \(\frac{1}{N}\) : \(\frac{1}{O}\) = 3 : 4 : 5, then M : N : O is equal to:

pipeline-1145708
delhi_police intermediate

If \(\frac{x}{4y}\) = \(\frac{3}{4}\), then the value of \(\frac{2x + 3y}{x - 2y}\) is:

pipeline-1133792
delhi_police intermediate

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
delhi_police intermediate

If a : b = 18 : 17 and b : c = 19 : 21 then, find the ratio of a : c : b.

pipeline-1094404
delhi_police intermediate

If A = \({1\over4}\)B , B = \({1\over3}\)C and, C = \(1\over2\)D then, find C : D : A : B.

pipeline-1102179
delhi_police intermediate

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
delhi_police intermediate

If a, b and c are positive numbers such that (a+ b2): (b2 + c2): (c2 + a2) = 34 : 61 : 45, then a : b : c = ?

pipeline-1082817
delhi_police intermediate

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
delhi_police intermediate

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
delhi_police intermediate

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
delhi_police percentage intermediate

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
delhi_police intermediate

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
delhi_police intermediate

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
delhi_police intermediate

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
delhi_police percentage intermediate

An interval of 2 hours 25 minutes is wrongly estimated by 2 hours 30.5 minutes. The error percentage is:

pipeline-1094744
delhi_police intermediate

If (9g + 2h) : (9g - 2h) = 9 : 2, then what is the value of g : h?

pipeline-1103328
delhi_police intermediate

If A : B = 3 : 7 and B : C = 2 : 5, find A : B : C.

pipeline-1085524
delhi_police intermediate

If a ∶ b = 2 ∶ 3 and b ∶ c = 6 ∶ 8, then find a ∶ b ∶ c.

pipeline-1083737
delhi_police intermediate

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
delhi_police percentage intermediate

Find three numbers in the ratio of 6 : 4 : 10 such that the sum of their squares is equal to 3800.

pipeline-1161183
delhi_police intermediate

What should be added to each term of the ratio 5 : 11 so that the ratio becomes 3 : 5?

pipeline-1157837
delhi_police intermediate

A quantity \(\frac{4}{5}\) is changed to \(\frac{5}{6}\). How much percentage change is given to the quantity?

pipeline-1155388
delhi_police intermediate

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
delhi_police intermediate

The sum of the two numbers is 98. The difference between the two numbers is 28. Find one of the two numbers.

pipeline-1111643
delhi_police intermediate

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
delhi_police intermediate

By how much 70% of 120 is greater than 40% of 80.

pipeline-1111634
delhi_police intermediate

Two numbers are, respectively, 10% and 25% more than the third number. The ratio of the two numbers is:

pipeline-1086635
delhi_police intermediate

27 percent of a number exceeds 13 percent of the same number by 56. What is the value of the number?

pipeline-1023256
railways percentage intermediate

By how much 70% of 120 is greater than 40% of 80.

pipeline-1022131
railways intermediate

If A : B : C = 8 : 14 : 13 & the difference between A and C is 22.75. Find the value of B.

pipeline-1022135
railways intermediate

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
railways intermediate

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
railways intermediate

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
railways intermediate

If a/b is a fraction, where a = b - 3 and (a + 10)/b - a/b = 10/7 , then find a/b.

pipeline-988093
railways intermediate

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
railways intermediate

If a : b = 18 : 17 and b : c = 19 : 21 then, find the ratio of a : c : b.

pipeline-846773
railways intermediate

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
railways percentage intermediate

A student multiplies a number by 6/5 instead of 5/6. What is the percentage error in the result?

pipeline-846758
railways intermediate
Page 7 of 11