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      Question

      The marked price and the selling

      price of an item are in the ratio of 5:4. If the % discount offered is equal to the % profit earned, what is the ratio of the cost price to the marked price of the item?
      A 5:4 Correct Answer Incorrect Answer
      B 2:5 Correct Answer Incorrect Answer
      C 2:3 Correct Answer Incorrect Answer
      D 1:2 Correct Answer Incorrect Answer

      Solution

      ATQ, Let the marked price of the item  be Rs. '15p' So, selling price of the item  = 5p × (4/5) = Rs. '12p' So, discount % = {(15p - 12p)/15p} × 100 = 20% So, cost price of the article = 12p ÷ 1.2 = Rs. '10p' So, required ratio = 10p:15p = 2:3

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