Question : A shopkeeper allowed a 25% discount on the marked price of an article and he suffered a loss of 15%. What will be the profit percentage if the article is sold at a marked price?
Option 1: 11.76
Option 2: 12.12
Option 3: 13.33
Option 4: 14.28
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Correct Answer: 13.33
Solution :
Given:
A shopkeeper allowed a 25% discount on the Marked Price of an article and he suffered a loss of 15%.
Let the Marked Price be 100 units.
After a 25% discount, the selling price = (100 – 25) = 75 units
Since, he suffered a loss of 15%, the cost price = $75×(\frac{100}{100-15})$ = $\frac{1500}{17}$ units
Now, if the selling price is 100 units,
Then, the profit is $=(100-\frac{1500}{17})=\frac{200}{17}$ units
So, the profit percentage = $\frac{\frac{200}{17}}{\frac{1500}{17}}×100$ = 13.33%
Hence, the correct answer is 13.33.
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