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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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