Question : A trader buys an article at 80% of its marked price and sells it at a 10% discount on its marked price. His percentage profit is:
Option 1: $10 \frac{1}{2}$
Option 2: $10$
Option 3: $12 \frac{1}{2}$
Option 4: $15$
Correct Answer: $12 \frac{1}{2}$
Solution :
Given: A trader buys an article at 80% of its marked price and sells it at a 10% discount on its marked price.
Profit percentage = $\frac{\text{SP – CP}}{\text{CP}}\times 100$, where $SP$, $CP$ are the selling price and the cost price.
Let the marked price of the article be INR 100.
The CP of the article $=\frac{80}{100}\times 100=$ INR 80
The SP of the article $=\frac{90}{100}\times 100=$ INR 90
So, the profit percentage $=\frac{90–80}{80}\times 100$
$=\frac{10}{80}\times 100=12 \frac{1}{2}$%
Hence, the correct answer is $12 \frac{1}{2}$.
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