Question : The marked price of an article is 150 percent of the cost price. If a 30 percent discount is given, then what will be the profit percentage?
Option 1: 3 percent
Option 2: 5 percent
Option 3: 6 percent
Option 4: 4 percent
Correct Answer: 5 percent
Solution :
Given: The marked price of an article is 150 percent of the cost price.
Let the cost price of the article be $100x$.
Marked price = $\frac{150 × 100x}{100}$ = $150x$
Discount = 30%
Selling price = ${150x}×\frac{70}{100}=105x$
Profit percentage = $\frac{105x-100x}{100x}×100=5\%$
Hence, the correct answer is 5%.
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