Question : The cost price of an article is 72% of the marked price. The profit percentage after allowing a discount of 6% on the marked price is (rounded off to 2 decimal places):
Option 1: 32.50%
Option 2: 28.23%
Option 3: 30.56%
Option 4: 35.65%
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Correct Answer: 30.56%
Solution :
Let the marked price be $100x$.
Cost price $= \frac{72}{100} \times 100x = 72x$
Selling price after a discount of 6% $= 100x - \frac{6}{100} \times 100x = 94x$
Profit $= 94x - 72x = 22x$
Profit % $= \frac{22x}{72x} \times 100 = 30.56$%
Hence, the correct answer is 30.56%.
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