In a library 40%of the books are in English, 30% of the remaining books are in Hindi, 1/5 of the remaining books are in sanskrit and the remaining 1680 books are in other Indian languages. How many books are in a library?
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The total number of books in the library are 250,000
Explanation:
Let us suppose total number of books in a library be x
In a library 30% books are in English
Number of books are in English = 30% of x
Remaining books in library = x - 0.30x = 0.70x
In library 60% of the remaining books are in hindi
Number of books are in Hindi = 60% of 0.70x
Remaining books in library = x - 0.30x - 0.42x = 0.28x
In library 25% of the remaining books are in Sanskrit.
Number of books are in Sanskrit = 25% of 0.28x
Remaining books in library are in other languages = 52,500
According to question we get an equation
English + Hindi + Sanskrit + Other = x
Thus, The total number of books in the library are 250,000
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