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      Question

      Quantity I: A shopkeeper sold an article for Rs.1500

      and made a profit of Y%. If he increases the selling price by Rs.400, he can make a profit of (Y + 40)%. Find the value of Y. Quantity II: If the marked price of an article is Rs.3200 and the shopkeeper offers Y% discount, and the article is sold for Rs.2700, find the value of Y.
      A Quantity II > Quantity I 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 or Relationship cannot be established Correct Answer Incorrect Answer
      E Quantity II ≥ Quantity I Correct Answer Incorrect Answer

      Solution

      Quantity I: The difference between the profit percentages = 40% 400 = 40% of the cost price 100% = Rs.1000 (Cost Price) Selling price = Rs.1500 Profit percentage Y = (1500 - 1000) × 100 / 1000 = 50% Quantity II: Marked price = Rs.3200 Selling price = Rs.2700 Discount = 3200 - 2700 = Rs.500 Discount percentage Y = 500 × 100 / 3200 = 15.625% Answer: C

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