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    Question

    A shopkeeper buys a product for Rs.1800. He increases

    the tag by x% and offers a discount of (x тАУ 5)%. His profit is Rs.63. Find the marked price.
    A Rs.1525 Correct Answer Incorrect Answer
    B Rs.2070 Correct Answer Incorrect Answer
    C Rs.1600 Correct Answer Incorrect Answer
    D Rs.2600 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, 1800 * (100 + x)/100 * (100 тАУ (x тАУ 5))/100 = 1800 + 63 1800 * (100 + x)/100 * (105 тАУ x)/100 = 1863 (100 + x) * (105 тАУ x) = 10350 10500 тАУ 100x + 105x тАУ x2 = 10350 x2┬атАУ 5x тАУ 150 = 0 x2┬атАУ 15x + 10x тАУ 150 = 0 x(x тАУ 15) + 10(x тАУ 15) = 0 (x тАУ 15)(x + 10) = 0 x = +15, тАУ10 x = 15 Marked price = 1800 * 115/100 = Rs.2070

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