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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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