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      Question

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

      of 45% is Rs. 150 more than its selling price when sold at a loss of 35%. 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. 207.5 Correct Answer Incorrect Answer
      B Rs. 277.5 Correct Answer Incorrect Answer
      C Rs. 267.5 Correct Answer Incorrect Answer
      D Rs. 297.5 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 45% = 1.45 × 100y = Rs. ‘145y’ And, selling price of the article when it is sold at a loss of 35% = 0.65 × 100y = Rs. ‘65y’ According to the question, 145y – 65y = 150 Or, y = (150/80) Or, y = 1.875 So, cost price of article ‘A’ = 100 × 1.875 = Rs. 187.5 Therefore, cost price of article ‘B’ = 187.5 + 80 = Rs. 267.5

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