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      Question

      The cost price of article 'B' is Rs. 200 more than that

      of article 'A'. Articles 'A' and 'B' are sold at profit of 25% and loss of 20% respectively, such that the selling price of articles 'A' and 'B' is in the ratio 5:4 respectively. Find the cost price of article 'A'.
      A Rs. 400 Correct Answer Incorrect Answer
      B Rs. 500 Correct Answer Incorrect Answer
      C Rs. 600 Correct Answer Incorrect Answer
      D Rs. 800 Correct Answer Incorrect Answer

      Solution

      Let the cost price of article 'A' = Rs. Y

      Then, cost price of article 'B' = Rs. (Y + 200)

      Selling price of article 'A' = Y × 1.25 = Rs. 1.25Y

      Selling price of article 'B' = (Y + 200) × 0.8 = Rs. 0.8Y + 160

      Given, (1.25Y) : (0.8Y + 160) = 5 : 4

      Or, 5Y = 4Y + 800

      Or, Y = 800

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