Question : Articles are marked at a price which gives a profit of 25%. After allowing a certain discount, the profit reduces to $12\frac{1}{2}$%. The discount percent is:
Option 1: 11.1%
Option 2: 10%
Option 3: 12.5%
Option 4: 12%
Correct Answer: 10%
Solution :
Let the cost price of each article be Rs. 100.
$\therefore$ Marked price = Rs. (100 + 25) = Rs 125
On giving a discount,
Selling price = Rs. 112.5
$\therefore$ Discount percentage = $\frac{\text{Discount}}{\text{Marked Price}}×100$% =$\frac{(125 – 112.5)}{125}$ = 10%
Hence, the correct answer is 10%.
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