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?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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