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      Question

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

      of 35% is Rs. 120 more than its selling price when sold at a loss of 40%. 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. 200 Correct Answer Incorrect Answer
      B Rs. 250 Correct Answer Incorrect Answer
      C Rs. 240 Correct Answer Incorrect Answer
      D Rs. 270 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 35% = 1.35 × 100y = Rs. ‘135y’ And, selling price of the article when it is sold at a loss of 40% = 0.60 × 100y = Rs. ‘60y’ According to the question, 135y – 60y = 120 Or, y = (120/75) Or, y = 1.6 So, cost price of article ‘A’ = 100 × 1.6 = Rs. 160 Therefore, cost price of article ‘B’ = 160 + 80 = Rs. 240

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