1. In a library, 50% of total number of books is of Marathi. The books of English are 1/3
rd 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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Answer:
Fractional value of 50%=12
Fractions given (1/2,1/3,1/4)
25%=1/4
Take lcm of (2,3,4)=24,
Let total books =24
Marathi books 50%of total=1/2*24=12
English books=1/3 of marathi books=1/3*12=4
Mathematics books=25%of English books=1/4*4=1
Total - marathi books-english books-mathematics books
=24-(12+4+1)=7=remaining books
The no of remaining books given =560
That is 7 units=560
1unit =560/7=80
Therefore total no of books =24unit=24*80=1920books
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