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      Question

      A sold an article at 55% profit. If the profit earned

      had been 224% more, then the profit percentage would have been numerically equal to CP. Find the actual cost price of the article.
      A Rs. 152.8 Correct Answer Incorrect Answer
      B Rs. 142.8 Correct Answer Incorrect Answer
      C Rs. 172.8 Correct Answer Incorrect Answer
      D Rs. 192.8 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the cost price of the article be Rs. 100x Therefore, selling price of article = Rs. 155x Therefore, profit earned = 155x – 100x = Rs. 55x New profit = 3.24 Γ— 55x = Rs. 178.2x According to the question, (178.2x/100x) Γ— 100 = 100x Or, x = 1.728 Therefore, actual cost price = 100x = Rs. 172.8

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