Abhishek marks the price of his laptop 80 percent above the cost price. He allows his customer a discount of 25 percent on the marked price. What is the profit percentage?

Correct option is C

Given:
Marked price = 80% above cost price
Discount = 25%
Formula Used:
​$$\text {Profit Percentage} = \frac {\text {(Selling Price - Cost Price)}} {\text {Cost Price}} ×100$$​​
Solution:

Let the cost price be C. Then, the marked price M is:
M = C ×1.8
Selling price S after discount is:
S = M ×(1 - 0.25) = C ×1.8 ×0.75
S = C ×1.8 ×0.75 = C ×1.35
Profit percentage = ((1.35C - C) / C) ×100 = 35%
Thus, the profit percentage is 35%.

Alternate Method:

Let the cost price (C) be 100.

Marked price (M) = 100 + 80% of 100 = 100 + 80 = 180

Selling price (S) = M - 25% of M = 180 - 25% ×180 = 180 - 45 = 135

Profit Percentage = (135 - 100) / 100 ×100 = 35%