Tried this profit-loss question but not getting the right value. Can someone check?

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

A. 25
B. 10
C. 15
D. 20

A. 25
B. 10
C. 15
D. 20

V Gupta · Accepted Answer

This question becomes easier if cost price is taken as x and everything else is built from there.

Marked price = 1.2x (for 20% profit)
Ravi gets 10% discount &rarr; pays 90% of marked price = 0.9 &times; 1.2x = 1.08x
Savings = 10% of marked price = 0.1 &times; 1.2x = 0.12x
Now, savings = 15
So, 0.12x = 15 ,  x = 125
Cost price = 125, selling price = 135
Profit = 135 &ndash; 125 = 10 rupees
Answer is 10, which is option B. Just needed to connect savings to discount percentage properly.

T Ronak · Answer

This one needs you to assume cost price and then work backwards using the discount and savings part.
Let the cost price be x. Since Gopi wants 20% profit, marked price becomes 1.2x. Ravi gets 10% discount, so selling price = 90% of marked price = 0.9 &times; 1.2x = 1.08x.
Now, the saving Ravi made is 10% of marked price, and that equals Rs 15. So:
0.1 &times; 1.2x = 15 , 
0.12x = 15 
x = 125
So cost price = 125, selling price = 1.08 &times; 125 = 135. Gopi&rsquo;s profit = 135 &ndash; 125 = Rs 10
So the correct answer is Option B.