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Question

In a library, 50% of total number of books is of Marathi. The books of English are 13rd 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?


Solution

Let the total number of books be x.
50% books are in Marathi = 50100x=x2
Books of English = 13rd of Marathi books = 13×x2=x6
Books on mathematics are 25% of the English books = 25100×x6=x24
Remaining books = 560
So,
 x2+x6+x24+560=x17x24+560=xx-17x24=5607x24=560x=560×247=1920
Total books in the library are 1920.

 

Mathematics
Mathematics - Solutions
Standard VIII

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