After giving 50 percent discount on an article there is still a profit of 50 percent. What will be the profit percentage when no discount is given?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 200%.
Let the Cost Price(CP) of the article be x
After a 50% discount, there is still a profit of 50%
SP after discount = 1.5x
Since a 50% discount was given, it means the discounted selling price is 50% of the marked price (MP)
SP after discount = 0.5 × MP
⇒ 0.5 × MP = 1.5x
⇒ MP = 1.5x/0.5
⇒ MP = 3x
So,
Profit = SP - CP
⇒ 3x - x = 2x
Profit% = Profit/CP × 100
⇒ 2x/x × 100 = 200%
So, if no discount is given, the profit percentage will be 200%