The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is
Question:
The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is
The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is
Options
Answer: 14
Explanation:
Let original cost price = c Original selling price = s Given 40% profit: s = 1.4c New scenario: Cost price decreases by 40% → new cost = 0.6c Selling price decreases by 5 → new selling price = s − 5 Profit becomes 50%: ((s − 5) − 0.6c) / (0.6c) = 0.5 s − 5 = 0.9c But s = 1.4c, so substitute: 1.4c − 5 = 0.9c 0.5c = 5 c = 10 Then s = 1.4 × 10 = 14 Answer: 14
Explanation:
Let original cost price = c Original selling price = s Given 40% profit: s = 1.4c New scenario: Cost price decreases by 40% → new cost = 0.6c Selling price decreases by 5 → new selling price = s − 5 Profit becomes 50%: ((s − 5) − 0.6c) / (0.6c) = 0.5 s − 5 = 0.9c But s = 1.4c, so substitute: 1.4c − 5 = 0.9c 0.5c = 5 c = 10 Then s = 1.4 × 10 = 14 Answer: 14
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