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      Question

      A merchant earned a profit of Rs. 75 on the selling

      price of a sweater that cost the merchant Rs. 450. Quantity I. The profit expressed as a percentage of the cost to the merchant. Quantity II. The profit expressed as a percentage of the selling price. Study the following information carefully and answer the Questions given below:
      A Quantity I > Quantity II Correct Answer Incorrect Answer
      B Quantity I < Quantity II Correct Answer Incorrect Answer
      C Quantity I ≥ Quantity II Correct Answer Incorrect Answer
      D Quantity I ≤ Quantity II Correct Answer Incorrect Answer
      E Quantity I = Quantity II or No relation can be established Correct Answer Incorrect Answer

      Solution

      Quantity I. % profit on the cost price = 75/450× 100 = 1/6× 100 = 162/3 % Quantity II. Selling price = 450 + 75 = 525 % profit on the selling price = 75/525× 100 = 14 2/7 % Hence, Quantity I > Quantity II

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