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      Question

      A shopkeeper sold an article at a gain of 20%. Had he

      bought it for 20% less than the original cost and sold it for β‚Ή10 less, he would have gained 25%. Then the Cost Price of the article is:
      A β‚Ή50 Correct Answer Incorrect Answer
      B β‚Ή40 Correct Answer Incorrect Answer
      C β‚Ή60 Correct Answer Incorrect Answer
      D β‚Ή45 Correct Answer Incorrect Answer

      Solution

      Let the actual cost price be Rs. 100x So, actual selling price = 100x Γ— 120% β‡’ Rs. 120x Now, If he had bought it at 20% less than the actual then its cost price = 100x Γ— 80% β‡’ Rs. 80x Now, new selling price = 80x Γ— 125% β‡’ 100x According to the question, 120x - 100x = 10 β‡’ 20x = 10 β‡’ x = 1/2 So, actual cost price = 100 Γ— (1/2) β‡’ Rs. 50 ∴ The Cost Price of the article is Rs. 50.

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