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      Question

      A merchant sold an article at a loss of 12%. If the cost

      price was increased by 20% and the article was sold at a profit of 12%, find the percentage increase in the selling price.
      A 45.3% Correct Answer Incorrect Answer
      B 52.7% Correct Answer Incorrect Answer
      C 40% Correct Answer Incorrect Answer
      D 62.7% Correct Answer Incorrect Answer

      Solution

      Let the original cost price be β‚Ή100. Selling price with a loss of 12% = 100 - 12% of 100 = β‚Ή88. New cost price = 100 + 20% of 100 = β‚Ή120. Selling price with a profit of 12% = 120 + 12% of 120 = β‚Ή134.4. Percentage increase in selling price = ((134.4 - 88) / 88) Γ— 100 = 52.7%. Correct Option: b

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