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in Equations in one variable by (49.4k points)
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In a library, 50% of total number of books is of Marathi. The books of English are 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 books in the library?

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Let the total number of books in the library be x 

50% of total number of books is of Marathi. 

Number of Marathi books = 50% of x

= (50/100)x

= x/2

The books of English are (1/3) of Marathi books. 

Number of books of English = (1/3) x (x/2)

= x/6

The books on Mathematics are 25% of the English books. 

Number of books of Mathematics

= 25% of x/6

= (25/100) x (x/6)

= x/24

Since, there are 560 books of other subjects, the total number of books in the library are

∴ 24x – 17x = 17x + 13440 – 17x 

∴ 7x = 13440

∴ x = 1920

∴ The total number of books in the library are 1920.

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