Question : An article is marked at 100% above its cost price. After allowing two successive discounts of 5% and 20% respectively on the marked price, it is sold at $x$% profit. What is the value of $x$?
Option 1: 48
Option 2: 75
Option 3: 72
Option 4: 52
Correct Answer: 52
Solution : Given: An article is marked at 100% above its cost price. After allowing two successive discounts of 5% and 20% respectively on the marked price, it is sold at $x$% profit. Use the formula, Profit percentage = $\frac{\text{SP – CP}}{\text{CP}}\times 100$, where $SP$, $CP$ are the selling price and the cost price. Let the CP of the article be INR 100. The marked price of the article = $\frac{200}{100}\times 100$ = INR 200 The SP of the article after the two discount = $200\times \frac{95}{100}\times \frac{80}{100}$ = INR 152 The required percentage $=\frac{152-100}{100}\times 100=\frac{52}{100}\times 100=52$% Hence, the correct answer is 52.
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