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 rem

Question

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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4 weeks 2021-11-07T08:43:38+00:00 2 Answers 0 views 0

1. 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