In a library 60% of the books are in Hindi, 60% of the remaining books are in English

In a library 60% of the books are in Hindi, 60% of the remaining books are in English
Posted on 03-01-2023

Ques - In a library 60% of the books are in Hindi, 60% of the remaining books are in English rest of the books are in Malayalam. If there are 4800 books in English, then the total number of books in Malayalam are?

(a) 2400

(b) 2500

(c) 3000

(d) None of these

Solution -  

Let,

Total number of books = 1000x

number of books in Hindi = 60% of 1000x

= (60/100) × 1000x

= 600x

Remaining books = 1000x - 600x

= 400x

number of books in English = 60% of the remaining books 

= (60/100) × 400x

= 240x

Given,

Number of books in English = 4800

240x = 4800

x = 4800/240

x = 20

Total numbeer of books = 1000x

= 1000 × 20

= 20000

Number of Hindi books = 600x

= 600 × 20

= 12000

Remaining books = 20,000 - [12000 + 4800]

= 20,000 - 16800

= 3200

Therefore,

The number of books in malayalam is 32,00

Hence,

The correct option is (d) none of these.

Thank You