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      Question

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

      of 25% is Rs. 230 more than its selling price when sold at a loss of 21%. If the cost price of article β€˜B’ is Rs. 80 more than that of β€˜A’, then find the cost price of article β€˜B’.
      A Rs. 580 Correct Answer Incorrect Answer
      B Rs. 520 Correct Answer Incorrect Answer
      C Rs. 590 Correct Answer Incorrect Answer
      D Rs. 480 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 25% = 1.25 Γ— 100y = Rs. β€˜125y’ And, selling price of the article when it is sold at a loss of 21% = 0.79 Γ— 100y = Rs. β€˜79y’ According to the question, 125y – 79y = 230 Or, y = (230/46) Or, y = 5 So, cost price of article β€˜A’ = 100 Γ— 5 = Rs. 500 Therefore, cost price of article β€˜B’ = 500 + 80 = Rs. 580

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