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      Question

      A merchant labeled an item with a price 40% higher than

      the cost price and subsequently sold it with a discount of d%, resulting in a 5% profit. Determine the value of 'd'.
      A 20% Correct Answer Incorrect Answer
      B 24% Correct Answer Incorrect Answer
      C 25% Correct Answer Incorrect Answer
      D 15% Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the cost price of the article = Rs. 100 Marked price of the article = 1.40 × 100 = Rs. 140 Selling price of the article = 140 × (100 – d)/100 =  1.05 × 100 140 – 1.4d = 105 1.4d = 35,  d = 25 So the value of d = 25%

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