Question

In a library, the ratio of fiction books to non-fiction books is 7:5. The ratio of English fiction books to Hindi fiction books is 2:3. If there are 420 English fiction books, find the total number of non-fiction books in the library.

• A. 600
• B. 750
• C. 900
• D. 1050

Answer 1

Answer: (B)

750

Answer 2

Let the common ratio for English and Hindi fiction books be 2x and 3x respectively.

Given, English fiction books = 420 = 2x

Therefore, x = 210

So, Hindi fiction books = 3x =$3 \times 210$ = 630

Total fiction books = English fiction + Hindi fiction = 420 + 630 = 1050 books

Total number of books in the library.

Let the common ratio for fiction and non-fiction books be 7y and 5y respectively.

We know, total fiction books = 1050 = 7y

Therefore, y = 150

So, total non-fiction books = 5y = $5 \times 150 = 750$ books