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    Question

    A bookseller made a profit of (100/9) % on selling a book.

    If he had purchased the book for 12.5% less than its original cost price and sold it for ₹6,240 more than the initial selling price, his profit would have been 60%. Determine the original cost price of the book.
    A Rs. 21600 Correct Answer Incorrect Answer
    B Rs. 15600 Correct Answer Incorrect Answer
    C Rs. 18400 Correct Answer Incorrect Answer
    D Rs. 16400 Correct Answer Incorrect Answer

    Solution

    Let the initial cost price of the book be Rs. '72x'

    So, the initial selling price of the book = (10/9) X 72x = Rs. '80x'

    So, new cost price of the book = 0.875 X 72x = Rs. '63x'

    And new selling price of the book = Rs. (80x + 6240)

    ATQ;

    1.6 X 63x = 80x + 6240

    Or, (8/5) X 63x = 80x + 6240

    Or, 63x = 50x + 3900

    Or, 13x = 3900

    Or, x = 300

    Therefore, initial cost price of the book = 72x = 72 X 300 = Rs. 21,600

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