Correct Answer - Option 4 : 6400
Calculation:
Let the total number of books in the public library be x.
Hindi books = 60% of x
⇒ 0.6x
∴ Remaining books = x – 0.6x
⇒ 0.4x
∴ English books = 40% of 0.4x
⇒ 0.24x
∴ Gujrati books = x – 0.6x – 0.24x
⇒ 0.16x
There are 9600 English books.
∴ 0.24x = 9600
⇒ x = 40,000
∴ Gujarati books = 40,000 × 0.16
⇒ 6400
∴ The total number of books in Gujarati are 6400