In a library, 50% of total number of books is of Marathi. The books of English are 1/3rd 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 no. Of books = X
Thus,
Marathi books = 50/100 × X = 0.5X
English books = 1/3 × 0.5X= 0.5X/ 3
Math books = 25/100 × 0.5X/3= 12.5X/300
Thus , remaining books =
X - ( 0.5X + 0.5X/3 + 12.5 X/300)
X- ( 150X + 50X + 12.5X/300)
300X - 212.5X / 300
87.5X /300
Thus,
87.5X /300 = 560
X= 560× 300/ 87.5 = 1920 books
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