Question : 25% of the marked price is equal to 40% of the cost price. If no discount is given, then what will be the profit percentage?
Option 1: 66.66%
Option 2: 40%
Option 3: 60%
Option 4: 50%
Correct Answer: 60%
Solution :
Let's denote the marked price as $ M$ and the cost price as $C$.
So, according to the question, $0.25×M = 0.40×C$
⇒ $0.25×M = 0.40×C$
⇒ $M = {1.6}×C$
Since Profit Percentage = $\frac{\text{Selling Price−Cost Price}}{\text{Cost Price}}×100$%
So, Profit Percentage = $\frac{M−C}{C}×100$
⇒ Profit Percentage = $\frac{1.6C − C}{C}×100$
⇒ Profit Percentage = $60$%
Hence, the correct answer is 60%.
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