A person buys a car at 25% discount on the marked price and sells it at 20% higher than the marked price. What is the actual gain percentage?

Correct option is B

Given:

Price sold above marked price = 20%

Discount  = 25%

Formula Used:

Selling Price = Marked Price - Discount

Profit Percent =$$\frac{Profit}{Cost \ Price} \times 100$$​​

Solution:

Let the marked price be x

Then selling price = x - 25% of x = x - 0.25x = 0.75x

But selling price = cost price of car for the person

The person sold the car 20% above marked price

Selling price of person = x + 20% of x = x + 0.2x = 1.2x

Profit for person = 1.2x - 0.75x = 0.45x

Profit percentage =$$\frac{0.45x}{0.75x } \times 100 = 60\%$$​​