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?

Correct option is D

Given:
- Discount = 50%
- Profit after discount = 50%
Formula Used:
1. Selling Price (SP) = Cost Price (CP) × (1 + Profit%)
2. Marked Price (MP) = SP after discount × (100 / (100 - Discount %))
3. Profit Percentage = (SP - CP) / CP × 100
Solution:
Let the Cost Price (CP) of the article be Rs. 100.
Selling Price (SP) after discount:
Since the profit is 50% after the discount, the selling price after the discount is:
SP = CP × (1 + 50/100) = 100 × 1.5 = Rs. 150
A 50% discount was given on the marked price. Hence,
MP × (100 - 50) / 100 = SP
MP × 0.5 = 150
MP = 150 × 2 = Rs. 300
Profit percentage without discount
Profit % = (MP - CP) / CP × 100 = (300 - 100) / 100 × 100 = 200%