Question

In public library, 30% of books are classified as fiction and remainder as non - fiction. There are total 2400 more non - fiction books than fiction books. Number of books in fiction category is how much?
Options:
a) 2000
b) 1900
c) 1750
d) 1800

Answer 1

The number of fiction books in the library is 1800.

d is the correct option.

Step-by-step explanation:

Let the number of fiction books in library is x.

Then, the number of non fiction books in library is 2400 + x.

Therefore, total number of books in the library is

x + 2400 +x

= 2400 +2x

Now, it has been given that 30% of books are classified as fiction . Therefore, we have

$0.3(2400+2x)=x$

Solve this equation for x

$720+0.6x=x\\\\0.4x = 720\\\\x =\frac{720}{0.4}\\\\x= 1800$

Therefore, the number of fiction books in the library is 1800.

d is the correct option.

#Learn More:

A store has 7 fiction books and 21 non-fiction books. Find the percentage of the fiction  and non-fiction books that the store has.​

https://brainly.in/question/12319095