Question

In a library,50 percent of total no.of books is of marathi. The books of English are 1/3 of marathi books the books on mathematics are 25 percent on English books the remaining 560 books are of other subjects what's the total number of books in the library??


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Answer 1

Solution:

Let the total number of books be x

50 % of the total books are of Marathi = x*50/100 = x/2

Books of English are 1/3rd of Marathi = (x/2)*(1/3)

= x/6

Books on Mathematics are 25 % of the English books = (x/6)*(25/100)

= x/24

Remaining books = 560

Now, according to the question.

⇒ x/2 + x/6 + x/24 + 560/1 = x/1

⇒ (12x + 4x + x + 13440)/24 = x/1

⇒ 17x + 13440 = 24x

⇒ 24x - 17x = 13440

⇒ 7x = 13440

⇒ x = 13440/7

⇒ x = 1920

So, there are 1920 books in the the library.