## Ratio and proportion – Interview Questions with Answers

### This blog explains about Ratio and proportion – Interview Questions with Answers and is given below :

1.Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

 A. 2 : 5 B. 3 : 5 C. 4 : 5 D. 6 : 7

Explanation:

Let the third number be x.

 Then, first number = 120% of x = 120x = 6x 100 5

 Second number = 150% of x = 150x = 3x 100 2

 Ratio of first two numbers = 6x : 3x = 12x : 15x = 4 : 5 5 2

2 . 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. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None of these

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.

3 . In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:
 A. 20 litres B. 30 litres C. 40 litres D. 60 litres

Explanation:

 Quantity of milk = 60 x 2 litres = 40 litres. 3

Quantity of water in it = (60- 40) litres = 20 litres.

New ratio = 1 : 2

Let quantity of water to be added further be x litres.

 Then, milk : water = 40 . 20 + x

 Now, 40 = 1 20 + x 2

20 + x = 80

x = 60.

Quantity of water to be added = 60 litres.

4. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

5 . If 0.75 : x :: 5 : 8, then x is equal to:
 A. 1.12 B. 1.2 C. 1.25 D. 1.3

Explanation:

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

6 . The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
 A. 20 B. 30 C. 48 D. 58

Explanation:

Let the three parts be A, B, C. Then,

 A : B = 2 : 3 and B : C = 5 : 8 = 5 x 3 : 8 x 3 = 3 : 24 5 5 5

 A : B : C = 2 : 3 : 24 = 10 : 15 : 24 5

 B = 98 x 15 = 30. 49

7 . Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
 A. 27 B. 33 C. 49 D. 55

Explanation:

Let the numbers be 3x and 5x.

 Then, 3x – 9 = 12 5x – 9 23

23(3x – 9) = 12(5x – 9)

9x = 99

x = 11.

The smaller number = (3 x 11) = 33.

8 . The fourth proportional to 5, 8, 15 is:
 A. 18 B. 24 C. 19 D. 20

Explanation:

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

Then, 5 : 8 : 15 : x

5x = (8 x 15)

 x = (8 x 15) = 24. 5

9 . If Rs. 782 be divided into three parts, proportional to  :  : , then the first part is:
 A. Rs. 182 B. Rs. 190 C. Rs. 196 D. Rs. 204

Explanation:

Given ratio =  :  :  = 6 : 8 : 9.

 1st part = Rs. 782 x 6 = Rs. 204 2