Question
A trader bought two cycles for the same price. He
marked them 80% and 60% above their cost price. He gave a discount of 40% on the first cycle and 30% on the second cycle. Find the selling price of the first cycle if the total profit is Rs 1,000.Solution
Let, the cost price of each cycle = Rs. x Marked price of the first cycle = Rs. 1.8x Selling price of the first cycle = 1.8x × 0.60 = Rs. 1.08x Marked price of the second cycle = Rs. 1.6x Selling price of the second cycle = 1.6x × 0.70 = Rs. 1.12x According to question: 1.08x + 1.12x – 2x = 1000 0.20x = 1000 x = 5000 So the selling price of the first cycle = 1.08 × 5000 = Rs. 5,400
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