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      Question

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

      of 32% is Rs. 405 more than its selling price when sold at a loss of 40%. If the cost price of article ‘B’ is Rs. 81 more than that of ‘A’, then find the cost price of article ‘B’.
      A Rs. 623.5 Correct Answer Incorrect Answer
      B Rs. 643.5 Correct Answer Incorrect Answer
      C Rs. 643.5 Correct Answer Incorrect Answer
      D Rs. 648.5 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 32% = 1.32 × 100y = Rs. ‘132y’ And, selling price of the article when it is sold at a loss of 40% = 0.60 × 100y = Rs. ‘60y’ According to the question, 132y – 60y = 405 Or, y = (405/72) Or, y = 5.625 So, cost price of article ‘A’ = 100 × 5.625 = Rs. 562.5 Therefore, cost price of article ‘B’ = 562.5 + 81 = Rs. 643.5

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