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 P, Q, R be whole numbers and P: Q: R= 2:3:4 and \(P ^ 2 + Q ^ 2 + R ^ 2 \)= 11600 then P + Q - R = ?

pipeline-1305638
mp_police intermediate

If P : Q = 2 : 3, Q : R = 4 : 5 and R : S = 2 : 1 then what is the value of P : R : S?

pipeline-1300174
mp_police intermediate

There are y yellow marbles and b blue marbles in a box. 18% of the yellow marbles were added to 24% of the blue marbles, and the total was 30. Three times the number of yellow marbles exceeds two times the number of blue marbles by 200. What is the ratio of y2 to b2?

pipeline-1300169
mp_police intermediate

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

pipeline-1305739
mp_police intermediate

If a ∶ b = c ∶ d = e ∶ f = 5 ∶ 7, then what is the ratio (3a + 5c + 11e) ∶ (3b + 5d + 11f)?

pipeline-1292896
mp_police intermediate

If 45 percent of X is equal to 15 percent of Y, then what is the value of X : Y?

pipeline-1297044
mp_police percentage 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-1291622
mp_police intermediate

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

pipeline-1292880
mp_police intermediate

The ratio of two numbers is 1 : 2. If 21 is added to both numbers, then the ratio becomes 5 : 7. Find these numbers

pipeline-1291625
mp_police intermediate

A is 48% more than B. C is 60% more than twice the difference between A and B. By what percent is C more than A (correct to one decimal place)?

pipeline-1272117
mp_police percentage intermediate

Two numbers are in the ratio 3: 5. If the sum of their squares is 2176, find the sum of the two numbers.

pipeline-1272111
mp_police intermediate

 If 20% of (A + B) = 30% of (A − B),  then what percentage of B is equal to A?

pipeline-1324068
bihar_police percentage intermediate

A is 35% more than B, B is 25% less than C and C is 20% more than D. Which of the following is true?

pipeline-1269990
mp_police intermediate

The sum of two numbers is 19, while the difference between the two numbers is 3. Find the smaller number out of these two numbers.

pipeline-1269996
mp_police intermediate

If the numerator of a fraction is increased by 25% and the denominator is decreased by 10%, the value of the new fraction becomes \(25\over24\). Find the original fraction.

pipeline-1269995
mp_police intermediate

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

pipeline-1323769
bihar_police intermediate

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-1323875
bihar_police 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-1306980
bihar_police intermediate

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

pipeline-1309590
bihar_police intermediate

If the ratio of X to Y is 3 : 4, then determine the relationship between X and Y.

pipeline-1309487
bihar_police intermediate

If P : Q = 10 ∶ 11 and Q ∶ R = 11 ∶ 12, then P + Q ∶ Q + R ∶ R + P is:

pipeline-1298650
bihar_police intermediate

If a number is four times another number and 24 is added to the smaller number, the result is 3 more than twice the larger number. What is the larger number?

pipeline-1298656
bihar_police intermediate

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

pipeline-1302602
bihar_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-1298653
bihar_police intermediate

If a3 + b3 : a3 - b3 = 266 : 234, find a : b 

pipeline-435564
bihar_police intermediate

A student multiplied a number by 8/13 instead of 11/8. He further added 15 in the number. Find the percentage error in calculation of final number.

pipeline-431706
bihar_police percentage intermediate

If 70% of b is equal to 80% of a and 60% of c is equal to 50% of b. It is given that c is less than the 50% of the sum of a and b by 2.5, then what is the value of b?

pipeline-412833
bihar_police intermediate

If P : Q = 10 ∶ 11 and Q ∶ R = 11 ∶ 12, then P + Q ∶ Q + R ∶ R + P is:

pipeline-412831
bihar_police intermediate

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

pipeline-1363801
rajasthan percentage intermediate

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

pipeline-1363780
rajasthan intermediate

The sum of the digits of a two−digit number is 9. The number obtained by interchanging its digits exceeds the given number by 45, then the original number is:

pipeline-1363812
rajasthan intermediate

A is 48% more than B. C is 60% more than twice the difference between A and B. By what percent is C more than A (correct to one decimal place)?

 

pipeline-1353637
rajasthan percentage intermediate

If ratio a : b and b : c are both equal to 2 : 3, find the ratio of 3a + 7b – 2c and 5a – 11b + 10c.

pipeline-1193972
up_police intermediate

25% of a number is 7 more than 30% of another number. The difference between the numbers is 29. What are the numbers?

pipeline-1171800
up_police intermediate

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

pipeline-1171630
up_police intermediate

When the number 42 is misread as 24, what is the percentage error?

pipeline-1171487
up_police intermediate

If (3x + 2y) : (3x − 2y) = 5 : 3 then find x : y.

pipeline-1157697
up_police 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-1148177
up_police intermediate

If a : b :: b : c, and b = 96, then which of the following can be a possible pair of values of a and c?

pipeline-1154696
up_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-1145281
up_police percentage intermediate

Two numbers are respectively 61% and 35% less than a third number. The first number is what percentage of the second number?

pipeline-1139697
up_police percentage intermediate

If the numerator of a fraction is increased by 50% and its denominator is diminished by 28% then, the value of the fraction is 25/36. Find the original fraction.

pipeline-1115974
up_police intermediate

If the sum of the squares of the digits of a two-digit number is 13, then find the sum of all the possible combinations of the digits.

pipeline-1170682
up_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-1170521
up_police percentage intermediate

If 40% of B is added to 20% of A, then it becomes 50% of B, then A is initially what percent less than B?

pipeline-1170858
up_police percentage intermediate

The sum of a two-digit number and the number obtained by reversing its digits is 121. Find the number if its unit place digit is 5.

pipeline-1170863
up_police intermediate

The difference between two numbers is 5. If 25 is subtracted from the smaller number and 20 is added to the greater number the ratio becomes 1 : 2. What is the greater number?

pipeline-1170036
up_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-1170354
up_police intermediate

If (a + b) : (b + c) : (c + a) is 6 : 7 : 8 and also a  + b + c = 14,  then what is the value of c?

pipeline-1158134
up_police intermediate

If p/q = r/s = t/u = 2/5, then what is the value of (4p + 3r + 7t) : (4q + 3s + 7u)?

pipeline-1157363
up_police intermediate
Page 4 of 11