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      Question

      Sunita bought a bicycle and sold it at a profit of 30%.

      Had she bought it for Rs. 600 less and sold it for Rs. 660 more, she would have earned a profit of 75%. The original cost price of the bicycle is how much percent more than the reduced cost price of the bicycle?
      A 18.75% Correct Answer Incorrect Answer
      B 12.25% Correct Answer Incorrect Answer
      C 15.09% Correct Answer Incorrect Answer
      D 25% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

        Let the original cost price of the bicycle be Rs. ‘100x’.   So the original selling price = 1.30 × 100x = Rs. 130x.   Reduced cost price = Rs. (100x – 600).   According to question:   1.75 × (100x – 600) = 130x + 660.   175x – 1050 = 130x + 660.   45x = 1710.   x = 38.   So, the original cost price = Rs 3800 the reduced cost price = Rs 3200,   So, the desired percentage = 600/3200 × 100 = 18.75%

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