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

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Accepted Answer

1. **Let the cost price (CP) be $$ x $$:**  
   - Marked Price (MP) is set at 20% above CP:  
     $$ MP = 1.2x $$

2. **Selling Price (SP) after discount:**  
   - Ravi gets a 10% discount on the marked price:  
     $$ SP = MP - 10\% 	ext{ of } MP = 0.9 	imes MP $$  
     $$ SP = 0.9 	imes 1.2x = 1.08x $$

3. **Savings by Ravi:**  
   - Ravi saves ₹15 due to the discount, which is equal to $$ 10\% 	ext{ of } MP $$:  
     $$ 0.1 	imes MP = ₹15 $$  
     $$ 0.1 	imes 1.2x = ₹15 $$  
     $$ x = ₹125 $$

4. **Calculate SP and Profit:**  
   - Substituting $$ x = ₹125 $$:  
     $$ MP = ₹150 $$  
     $$ SP = ₹135 $$  
   - Profit made by Gopi:  
     $$ Profit = SP - CP = ₹135 - ₹125 = ₹10 $$

Thus, the profit made by Gopi is **₹10**.

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