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      Question

      Selling price of article ‘A’ when sold at a profit

      of 25% is Rs. 250 more than its selling price when sold at a loss of 55%. If the cost price of article ‘B’ is Rs. 80 more than that of ‘A’, then find the cost price of article ‘B’.
      A Rs. 372.5 Correct Answer Incorrect Answer
      B Rs. 342.5 Correct Answer Incorrect Answer
      C Rs. 392.5 Correct Answer Incorrect Answer
      D Rs. 312.5 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the cost price of article ‘A’ = Rs. ‘100y’ Then, selling price of the article when it is sold at a profit of 25% = 1.25 × 100y = Rs. ‘125y’ And, selling price of the article when it is sold at a loss of 55% = 0.45 × 100y = Rs. ‘45y’ According to the question, 125y – 45y = 250 Or, y = (250/80) Or, y = 3.125 So, cost price of article ‘A’ = 100 × 3.125 = Rs. 312.5 Therefore, cost price of article ‘B’ = 312.5 + 80 = Rs. 392.5

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