Question

In a library 20% of books are in English, 33.33% is in German and the remaining books are in French. Among the German books 75% are fiction books and the rest are non fiction.
Among the non fiction books,10% are biographies, 20% are autobiographies and the rest are books on society,arts and culture.
Among the autobiographies there are 20 books written by women which comprises 40% of autobiographical novels. How many books are there in the library in total.
a) 2000
b)3000
c)1500
d)4000

Answer 1

Answer:

Option: b is the correct answer.

b) 3000

Step-by-step explanation:

We are given a information that:

In a library 20% of books are in English, 33.33% is in German and the remaining books are in French. Among the German books 75% are fiction books and the rest are non fiction.

Among the non fiction books,10% are biographies, 20% are autobiographies and the rest are books on society,arts and culture.

Among the autobiographies there are 20 books written by women which comprises 40% of autobiographical novels.

Let the total number of books be 'x'

This means that:

40% of 20% of 75% of 33.33% of x=20

Hence,

$40\%\times 20\%\times 75\%\times 33.33\%\times x=20\\\\\\\dfrac{40}{100}\times \dfrac{20}{100}\times \dfrac{75}{100}\times \dfrac{33.33}{100}\times x=20\\\\x=3000.300030003$

so x≈3000

The number of books in library in total=3000

Answer 2

Answer:

option :- b is the correct answer .