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: $15$

Question

Question : A dealer allows a 25% discount on the marked price of an article and gains 20%. If the cost price of the article increases by 20%, how much discount percentage should he allow on the marked price to earn the same percentage of profit as before?

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Answer 1

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 = $\frac{SP – CP}{CP} \times 100$ , where $S P$ , $C P$ 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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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: 1012Option 2: 10Option 3: 1212Option 4: 15

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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: $15$