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      Question

      Selling price of article β€˜A’ when sold at a profit

      of 32% is Rs. 162 more than its selling price when sold at a loss of 40%. If the cost price of article β€˜B’ is Rs. 90 more than that of β€˜A’, then find the cost price of article β€˜B’.
      A Rs. 315 Correct Answer Incorrect Answer
      B Rs. 325 Correct Answer Incorrect Answer
      C Rs. 345 Correct Answer Incorrect Answer
      D Rs. 305 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the cost price of article β€˜A’ = Rs. β€˜100y’ Then, selling price of the article when it is sold at a profit of 32% = 1.32 Γ— 100y = Rs. β€˜132y’ And, selling price of the article when it is sold at a loss of 40% = 0.60 Γ— 100y = Rs. β€˜60y’ According to the question, 132y – 60y = 162 Or, y = (162/72) Or, y = 2.25 So, cost price of article β€˜A’ = 100 Γ— 2.25 = Rs. 225 Therefore, cost price of article β€˜B’ = 225 + 90 = Rs. 315

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