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    Question

    The cost price and marked price of a bag are in the ratio

    of 4:9. If the bag is sold at a 30% discount, the shopkeeper makes a profit of Rs. 180. Determine the marked price of the bag.
    A Rs.641 Correct Answer Incorrect Answer
    B Rs.467 Correct Answer Incorrect Answer
    C Rs.704 Correct Answer Incorrect Answer
    D Rs.520 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the cost price of the bag be Rs. ‘4x’ and the marked price be Rs. ‘9x’.

    ATQ;

    Selling price of the bag = 9x × 0.7 = Rs. ‘6.3x’

    Profit = 6.3x – 4x = Rs. ‘2.3x’

    So, 2.3x = 180

    Or, x = 78.26

    So, marked price of the bag = 9 × 78.26 = Rs. 704

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