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    Question

    A shopkeeper cheats his customer by using faulty weight and

    earns profit percent of 12% after selling. How much less the shopkeeper will sell when the customer wants to purchase 5.04 kg?
    A 600 g Correct Answer Incorrect Answer
    B 540 g Correct Answer Incorrect Answer
    C 480 g Correct Answer Incorrect Answer
    D 720 g Correct Answer Incorrect Answer
    E 800 g Correct Answer Incorrect Answer

    Solution

    Let price of 1 kg = 1000
    Let he sell 'x' grams at cost of 1 kg.
    SP of 'x' grams = 1000
    SP of 1 kg = (1000/x) * 1000 = (1000000/x)
    Profit amount = (1000000/x) - 1000
    Profit percent = [(1000000/x) - 1000]/1000 * 100 = 12
    (1000/x) - 1 = 0.12
    1000/x = 1 + 0.12 = 1.12
    x = 1000/1.12
    Amount given at the purchase of 5.04 kg = (1000/1.12) * 5.04 = 4500 grams
    Less amount given = 5040 - 4500 = 540 grams

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