" In a library, 50% of total number of books is of Marathi. The books

1.	" In a library, 50% of total number of books is of Marathi. The books of English arerd of Marathi books. The books on mathematics are 25% of the English books.The remaining 560 books are of other subjects. What is the total number of booksin the library?
Answer» Let the total number of books be x 50 % of the total books are of Marathi = x50/100 = 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.

" In a library, 50% of total number of books is of Marathi. The books of English arerd of Marathi books. The books on mathematics are 25% of the English books.The remaining 560 books are of other subjects. What is the total number of booksin the library?

Answer»

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.