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      Question

      Find the original cost price of an item that A sold with

      a 40% profit. If the profit percentage had been numerically equal to cost price, the current profit would have been 300% more than what it is currently.
      A Rs.160 Correct Answer Incorrect Answer
      B Rs.100 Correct Answer Incorrect Answer
      C Rs.150 Correct Answer Incorrect Answer
      D Rs.120 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      We can say that Let the original CP of the article be Rs.'100a'    Therefore, SP of article = Rs.'140a'   Therefore, profit earned = 140a - 100a = Rs.'40a'   New profit earned = 4 × 40a = Rs. 160a   According to the question,   100a × (100a/100) = 160a   Or, a = 1.6   Therefore, actual cost price of the article = 100a    = 100 × 1.6    = Rs. 160

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