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      Question

      Ratio of the cost price of article ‘A’ to ‘B’ is

      2:5, respectively. Article ‘A’ is marked up by 28% above its cost price and then sold at a discount of 20%. If the profit earned on article ‘A’ is Rs. 258, then find the cost price of article ‘B’.
      A Rs. 22875 Correct Answer Incorrect Answer
      B Rs. 26375 Correct Answer Incorrect Answer
      C Rs. 26875 Correct Answer Incorrect Answer
      D Rs. 26865 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the cost price of article ‘A’ be Rs. 2x Marked price of article ‘A’ = 1.28 × 2x = Rs. 2.56x Selling price of article ‘A’ = 2.56x × 0.8 = Rs. 2.048x Or, 2x + 258 = 2.048x Or, 0.048x = 258 Or, x = 5375 Cost price of article ‘B’ = 5x = 5 × 5375 = Rs. 26875

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