Question
In a library 50% of the books are in English, 70% of the
remaining books are in Bengali and rest of the books are in Tamil. If there are 5800 books in English, then the total number of books in Tamil are?Solution
Let there are x books in the library. English books = 50% of x= 0.5x Remaining books = x– 0.5x= 0.5x Bengali books = 70% of the remaining books = 70% ×0.5x= 0.35x Tamil books = x- 0.5x - 0.35x = 0.15x Given that, total English books = 5800 0.5x = 5800 x= 11600 Therefore, Tamil books = 0.15x = 0.15 × 11600 = 1740
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