Question

In a library 60% of the books are Math, 60% of the remaining books are in English, rest of the books are on History. If there are 4800 books on Math, then the total number of books on History are?
1. 1280
2. 1200
3. 1380
4. 1480
5. 1260

Answer 1

Correct Answer - Option 1 : 1280

Given:

30% books on Math, remaining 30% books are English and rest of books are History 

Calculation:

Let the total books in library be  = x

⇒ Math books = 60% of x 

⇒ 0.6x

Remaining books = x - 0.6x

⇒ 0.4x

 English books = 60% of remaining book

⇒ 60% of 0.4x = 0.24x

History books = x - 0.6x - 0.24x

⇒ 0.16x

According to question,

⇒ 0.6x = 4800

⇒ x = 80,00

⇒ History books  = 0.16 × 80,00

⇒ History books  = 1280

∴ History books are 1280