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      Question

      Manav bought a laptop and sold it at a profit of 10%. Had he bought it for Rs. 500 less and sold it for Rs. 550 more, he would have earned a profit of 50%. The original cost price of the laptop is how much percent more than the reduced cost price of the laptop?

      A 16.67% Correct Answer Incorrect Answer
      B 12.25% Correct Answer Incorrect Answer
      C 15.09% Correct Answer Incorrect Answer
      D 18.18% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

       Let the original cost price of the laptop be Rs. ‘100x’.  So the original selling price = 1.10 × 100x = Rs. 110x.  Reduced cost price = Rs. (100x – 500).  According to question:  1.50 × (100x – 500) = 110x + 550.  150x – 750 = 110x + 550.  40x = 1300.  x = 32.5. So, the original cost price = Rs 3250 the reduced cost price = Rs. 2750. So, the desired percentage = 500/2750 × 100 = 18.18%

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