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Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is

CAT · 2024 · Quant Slot 3
Question:
Gopi marks a price on a product in order to make 20% profit. Ravi gets 10% discount on this marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is

Options

25
10
15
20
Answer: 10

Explanation:
Step 1: Let the cost price be C Gopi marks a price to make 20% profit → Marked price (M) = C × 1.2 Ravi gets 10% discount → Selling price (S) = M × 0.9 = 1.2C × 0.9 = 1.08C Discount given = M − S = 1.2C − 1.08C = 0.12C We are told Ravi saves Rs 15 → 0.12C = 15 → C = 125 Step 2: Profit made by Gopi Selling price = S = 1.08 × 125 = 135 Cost price = 125 Profit = S − C = 135 − 125 = 10

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