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      Question

      Two items, ‘M’ and ‘N’, were sold at Rs. 3600 each.

      The profit on ‘M’ equals the loss on ‘N’. If the cost price of ‘M’ is Rs. 2000 less than that of ‘N’, find the cost price of item ‘M’.
      A Rs. 2150 Correct Answer Incorrect Answer
      B Rs. 1100 Correct Answer Incorrect Answer
      C Rs. 2100 Correct Answer Incorrect Answer
      D Rs. 2000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the cost price of item ‘M’ be Rs. x

      Therefore, cost price of item ‘N’ = Rs. (x + 2000)

      According to the question,

      3600 – x = x + 2000 – 3600

      Or, 2x = 4000

      Or, x = 2000

      Therefore, cost price of item ‘M’ = Rs. 2000

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