A shopkeeper lists the price of a fan at 20% above its cost price and offers a 10% discount on its list price. If he earns a profit of ₹150, then what is the list price (in ₹) of the fan?

Correct option is C

Given :

A shopkeeper lists the price of a fan at 20% above its cost price and offers a 10% discount on its list price

Formula Used:

Profit = Selling price - Cost price

Solution: 

Let, Cost price C.P = 100 x    

List price  L.P = 120 x

       Selling price S.P = 108 x

he earns a profit of ₹150 , profit = 150 Rs.

Profit = S.P - C.P = 108x - 100x = 8x

now,    8x = 150 

            x = $$\frac{150}{8}$$

So, 

List price = 120 $$\times$$ x

List price = 120 $$\times\frac{150}{8}$$

List price = 2250 

The list price of the fan is ₹2250.

thus , the correct answer is option (c).