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    Question

    A trader buys an item for Rs.1250. He marks it up by x%,

    then gives a discount of (x тАУ 6)%. In the end he makes a profit of Rs.21. Find the marked price.
    A Rs.1550 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, 1250 * (100 + x)/100 * (100 тАУ (x тАУ 6))/100 = 1250 + 21 1250 * (100 + x)/100 * (106 тАУ x)/100 = 1271 (100 + x) * (106 тАУ x) = 10168 10600 тАУ 100x + 106x тАУ x2┬а= 10168 x2┬атАУ 6x тАУ 432 = 0 x2┬атАУ 24x + 18x тАУ 432 = 0 x(x тАУ 24) + 18(x тАУ 24) = 0 (x тАУ 24)(x + 18) = 0 x = +24, тАУ18 x = 24 Marked price = 1250 * 124/100 = Rs.1550

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