This Article consist of most important ” Ratio and Proportion Questions and Answers ” topic that are mostly asked in all competitive exams. We collected these questions from the students who appeared in exams. Now try to solve these questions.

## Ratio and Proportion Questions and Answers

**Question : 1** The fourth proportional to 5, 8, 15 is:

A. 18

B. 24

C. 19

D. 20

**Show Answer**

**Correct Answer : ** **B**

**Explanation : **

Let the fourth proportional to 5, 8, 15 be x.

Then, 5 : 8 : 15 : x

5x = (8 x 15)

x = (8 x 15)/5 = 24

**Question : 2** If 0.75 : x :: 5 : 8, then x is equal to:

A. 1.12

B. 1.2

C. 1.25

D. 1.30

**Show Answer**

**Correct Answer : ** **B**

**Explanation : **

(x x 5) = (0.75 x 8) x = 6/5 = 1.20

**Question : 3** Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit’s salary?

A. Rs. 17,000

B. Rs. 20,000

C. Rs. 25,500

D. Rs. 38,000

**Show Answer**

**Correct Answer : ** **D**

**Explanation : **

Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.

Then, (2x + 4000/3x + 4000) = 40/57

57(2x + 4000) = 40(3x + 4000)

6x = 68,000

3x = 34,000

Sumit’s present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000

**Question : 4** Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A. 2 : 3 : 4

B. 6 : 7 : 8

C. 6 : 8 : 9

D. None of these

**Show Answer**

**Correct Answer : ** **A**

**Explanation : **

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.

Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).

==> {(140/100) x 5x}, {(150/100) x 7x} and {(175/100) x 8x}

==> 7x, 21x/2 and 14x.

The required ratio= 7x:21x/2:14x

==> 14x : 21x : 28x

==> 2 : 3 : 4

**Question : 5** A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B’s share?

A. 500

B. 1500

C. 2000

D. None of these

**Show Answer**

**Correct Answer : ** **C**

**Explanation : **

Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.

Then, 4x – 3x = 1000

x = 1000.

B’s share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.