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?
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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