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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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