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    Question

    The ratio of the cost price to the marked price of a book

    is 3:7. If a discount of 25% is given on the book, the shopkeeper makes a profit of Rs. 150. Find the marked price of the book.
    A Rs.641 Correct Answer Incorrect Answer
    B Rs.467 Correct Answer Incorrect Answer
    C Rs.315 Correct Answer Incorrect Answer
    D Rs.520 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the cost price of the book be Rs. ‘3x’ and the marked price be Rs. ‘7x’.

    ATQ;

    Selling price of the book = 7x × 0.75 = Rs. ‘5.25x’

    Profit = 5.25x – 3x = Rs. ‘2.25x’

    So, 2.25x = 150

    Or, x = 66.67

    So, marked price of the book = 7 × 66.67 = Rs. 467


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