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      Question

      A dishonest merchant sells his grocery using weights

      that are 12% less than the true weights and makes a profit of 10%. Find his total gain percentage. 
      A 10% Correct Answer Incorrect Answer
      B 20% Correct Answer Incorrect Answer
      C 15% Correct Answer Incorrect Answer
      D 25% Correct Answer Incorrect Answer

      Solution

      Let the cost price of 1 kg be ₹100.
      He gives only 88% of the weight, so he gives 0.88 kg.
      Cost of 0.88 kg = ₹100 × 0.88 = ₹88
      He also makes a 10% profit on cost price, so selling price = ₹100 × 1.10 = ₹110

      Gain = ₹110 − ₹88 = ₹22
      Gain % = (22 / 88) × 100 = 25%

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