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    Question

    A businessman sold 2/5of his stock at a gain of 25% and

    the remaining at a gain of 20%. The overall percentage of gain is
    A 25% Correct Answer Incorrect Answer
    B 28% Correct Answer Incorrect Answer
    C 22% Correct Answer Incorrect Answer
    D 16% Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    Let the CP of whole stock be Rs. x. CP of 2/5 = Rs. 2x/5 CP of 3/5 = Rs. 3x/5 Total SP = Rs. (125 % of2x/5 ) + (120% of 3x/5 ) ⇒ x/2 + 18x/25 = 61x/50 Gain = - x = 61x/50-x=11x/50 Gain% = 100 = 22% 11x/50*1/x*100=22%

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