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      Question

      A trader marks an article 50% above its cost price. He

      sells it at a discount of 20% on the marked price. If instead he had given a discount of only 10% on the marked price, his profit would have been Rs 45 more. What is the cost price of the article?
      A Rs.150 Correct Answer Incorrect Answer
      B Rs.300 Correct Answer Incorrect Answer
      C Rs.650 Correct Answer Incorrect Answer
      D Rs.425 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let cost price = C. Marked price = 1.5C. Case 1 (20% discount): SP₁ = 1.5C × 0.8 = 1.2C Case 2 (10% discount): SP₂ = 1.5C × 0.9 = 1.35C Profit increase = (SP₂ − C) − (SP₁ − C) = SP₂ − SP₁ = 45 So: 1.35C − 1.2C = 45 0.15C = 45 C = 45 / 0.15 = 300 Cost price = Rs 300.

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