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    Question

    In a library, the ratio of the number of Hindi books to

    English books is 15:19. If the product of the number of books in these two languages is 114000, then find the difference between the number of English books and Hindi books.
    A 60 Correct Answer Incorrect Answer
    B 100 Correct Answer Incorrect Answer
    C 80 Correct Answer Incorrect Answer
    D 120 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the number of Hindi books and English books be ‘15x’ and ‘19x’, respectively. According to the question, 15x × 19x = 114000 Or, 285x² = 114000 Or, x² = 400 Or, x = 20 (Since, ‘x’ cannot be negative in this case) Required difference = 19x – 15x = 4x = 4 × 20 = 80

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