Multiple choice

A man sells an article at 10% above its cost price. If he had bought it at 15% less than what he paid for it and sold it for Rs 33 less, he would have gained 10%. Find the cost price of the article?

  1. Rs 400

  2. Rs 260

  3. Rs 325

  4. Rs 200

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the original cost price be C. The man sells at 10% profit, so selling price = 1.1C. If bought at 15% less, new CP = 0.85C. Sold for Rs 33 less gives new SP = 1.1C - 33. This new SP gives 10% profit on new CP, so 1.1C - 33 = 1.1(0.85C) = 0.935C. Solving: 1.1C - 0.935C = 33, so 0.165C = 33, giving C = Rs 200.

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