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      Question

      The selling price of an item when

      sold at a profit of 15% is Rs. 90 more than its selling price when it is sold at a loss of 30%. Find the cost price of the item.
      A Rs.200 Correct Answer Incorrect Answer
      B Rs.250 Correct Answer Incorrect Answer
      C Rs.365 Correct Answer Incorrect Answer
      D Rs.450 Correct Answer Incorrect Answer

      Solution

      Let the cost price of the item = Rs. 100x. According to the question: (100x×1.15)−(100x×0.7)=90 Or, 115x−70x = 45x = 90 So, x = 90÷45 = 2 Thus, the cost price of the item = 2×100 = Rs.200.

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