Question : The marked price of an item is 25% more than that of its cost price. If a discount of 10% is given on the marked price, then the gain percentage is:
Option 1: $10 \frac{1}{2}$%
Option 2: $9 \frac{1}{2}$%
Option 3: $13 \frac{1}{2}$%
Option 4: $12 \frac{1}{2}$%
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Correct Answer: $12 \frac{1}{2}$%
Solution :
Let Rs. 100 be the cost price.
Marked price = 100 + 25 = Rs. 125
Discount = 10%
Selling price = 90% of marked price = 0.9 × 125 = Rs. 112.5
Profit = 112.5 – 100 = 12.5
Profit% = $\frac{12.5}{100}×100$ = 12.5%
Hence, the correct answer is $12 \frac{1}{2}$%.
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