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 Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is:

The correct option is 10.

Let us break down the problem step-by-step to understand how we arrive at this answer.

Step 1: Understand the Cost Price and Marked Price
Let the cost price (CP) of the product for Gopi be x rupees.
Gopi marks the price of the product to make a 20% profit.
Therefore, the marked price (MP) is set at 20% above the cost price:
$\mathrm{MP}=x+0.20x=1.2x$

Step 2: Calculate the Discount and Marked Price using the Savings
Ravi gets a 10% discount on this marked price, which saves him Rs 15.
This means that 10% of the marked price is equal to Rs 15:
$10\%\text{ of }\mathrm{MP}=15$
$0.10\times \mathrm{MP}=15$
$\mathrm{MP}=\frac{15}{0.10}=150$
So, the marked price of the product is Rs 150.

Step 3: Find the Cost Price for Gopi
Now we can relate the marked price back to Gopi's cost price x:
$1.2x=150$
$x=\frac{150}{1.2}=125$
Thus, the cost price of the product for Gopi is Rs 125.

Step 4: Find the Selling Price to Ravi
Ravi buys the product at the marked price minus the discount (or savings):
$\mathrm{Selling Price (SP)}=\mathrm{MP}-\text{Discount}$
$\mathrm{SP}=150-15=135$
So, Gopi sells the product to Ravi for Rs 135.

Step 5: Calculate the Profit made by Gopi
The profit made by Gopi is the difference between the selling price to Ravi and his original cost price:
$\text{Profit}=\mathrm{SP}-\mathrm{CP}$
$\text{Profit}=135-125=10$
Therefore, the profit made by Gopi is Rs 10.