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 
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: 

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 

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: 
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: 
Answer: Option B
Explanation:
Let the fourth proportional to 5, 8, 15 be x.
Then, 5 : 8 : 15 : x
5x = (8 x 15)
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.
1^{st} 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 . 

