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    Question

    A grocer sells wheat at a profit of 14% and uses a

    weight which is 24% less. Find his total percentage gain.
    A 40% Correct Answer Incorrect Answer
    B 45% Correct Answer Incorrect Answer
    C 50% Correct Answer Incorrect Answer
    D 52% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Suppose he bought at Rs. x /kg Then, he sells at 114x/100 * 100/76 = 57x/38 per kg Now % profit = (57x/38 – x) * 100/x = 50% Alternate Method: Total percentage profit = (% profit + % less in weight) * 100/(100 - % less in weight = (14 + 24)*100/ (100 – 24) = 50%

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