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

Answer: Option C

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

Answer: Option 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.

 

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

Answer: Option D

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?

ANSWER : 

 

5 . If 0.75 : x :: 5 : 8, then x is equal to:
A. 1.12
B. 1.2
C. 1.25
D. 1.30

Answer: Option B

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

Answer: Option B

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

Answer: Option B

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

Answer: Option 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) = 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

Answer: Option D

Explanation:

Given ratio =  :  :  = 6 : 8 : 9.

 1st part = Rs.   782 x 6   = Rs. 204
2

10 .  The two numbers are in the ratio 1 : 3 . After adding  5 to each number , the ratio becomes 1 : 2 . What are the numbers ? 

Answer : 

Let the two numbers be x and 3 x . After adding 5 to each , the ratio becomes 1 : 2 

So ( x+ 5 ) : ( 3 x + 5 ) = 1 : 2 

 => 2 ( x + 5 ) = 3 x + 5 

 => 2 x + 10   = 3 x  + 5 

  =>  x = 5 

The numbers are 5 and 15 .