Question : After giving, 20% discount on an article, there is a profit of 20%. What will be the profit percent when no discount is given?
Option 1: 40%
Option 2: 44%
Option 3: 54%
Option 4: 50%
Correct Answer: 50%
Solution :
Given: Discount = 20%, Profit = 20%
Let's assume the cost price of the article is Rs. 100.
Profit = 20%
⇒ Selling price = (100 + 20) = Rs. 120
Discount given on marked price = 20%
⇒ Selling price = 80% of marked price = 120
Marked price = Rs. 150
When no discount is given, the selling price = Rs. 150
∴ Profit = $\frac{150-100}{100}×100=50$%
Hence, the correct answer is 50%.
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