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      Question

      A trader sells an item at a profit of 20%. If he had

      bought it for 10% less and sold it for Rs 30 less than his original selling price, his profit would have been 25%. Find the original cost price of the item.
      A Rs 200 Correct Answer Incorrect Answer
      B Rs 400 Correct Answer Incorrect Answer
      C Rs 100 Correct Answer Incorrect Answer
      D Rs 500 Correct Answer Incorrect Answer

      Solution

      Let original cost price = C. Original selling price = 1.20C. If he had bought it 10% cheaper: new cost price = 0.90C. New selling price = (original SP − 30) = 1.20C − 30. This new selling price gives 25% profit on new cost: 1.20C − 30 = 1.25 × 0.90C = 1.125C So: 1.20C − 1.125C = 30 0.075C = 30 C = 30 / 0.075 = 400 Answer: Original cost price = Rs 400.

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