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      Question

      Cost price of article ‘B’ is (300/8)% of selling price

      of article ‘A’. Article ‘A’ is sold at 50% profit and the cost price of article ‘A’ is Rs. 20 more than that of article ‘B’. Find the cost price of article ‘B’ if the cost price of article ‘A’ equals the selling price of article ‘B’.
      A Rs.35.45 Correct Answer Incorrect Answer
      B Rs.10.83 Correct Answer Incorrect Answer
      C Rs.16.22 Correct Answer Incorrect Answer
      D Rs.25.71 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let cost price of article ‘A’ = Rs. ‘x’ = selling price of article ‘B’

      Selling price of article ‘A’ = 1.50 × x = Rs. ‘1.5x’

      So, cost price of article ‘B’ = (3/8) × 1.5x = Rs. ‘0.5625x’

      ATQ,

      x = 0.5625x + 20

      Or, 0.4375x = 20

      Or, x = 45.71

      So, cost price of article ‘B’ = 0.5625x = 0.5625 × 45.71 ≈ Rs. 25.71

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