Question

Comprehension

Read the following lines and answer the questions that follow: -

There are a total of 5 different writers – A, B, C, D and E. They write their books and distribute them among their friends. It is also known that none of these friends are mutual with respect to each other. Also the following information is available:

(i) A has a total of 7 friends. Each of his friends has 4 friends.

(ii) B has a total of 5 friends. Each of his friends has 3 friends.

(iii) C has total of 4 friends. Each of his friends has 5 friends.

(iv) D has total of 6 friends. Each of his friends has 2 friends.

(v) E has total of 3 friends. Each of his friends has 5 friends.

If A has written 700 books, and B has written 450 books. These books are distributed equally among their respective friends by both of them. Then their friends also distributed the books they received among their respective friends. By how much percentage the number of books received by the friends of the friends of B more than those received by the friends of the friends of A?

1. 10%
2. 15%
3. 20%
4. 25%
5. None of these

Answer 1

Correct Answer - Option 3 : 20%

Given:

Number of books written by A = 700

Number of books written by B = 450

Number of friends of A = 7

Number of friends of B = 5

Number of friends of each friend of A = 4

Number of friends of each friend of B = 3

Calculation:

Number of books received by each friend of A = 700/7 = 100

Number of books received by each friend of the friend of A = 100/4 = 25

Number of books received by each friend of B = 450/5 = 90

Number of books received by each friend of the friend of B = 90/3 = 30

Hence, the required percentage = [(30 – 25)/25] × 100 = 20%

∴ The number of books received by the friends of the friends of B is more than those received by the friends of the friends of A by 20%