Question : By selling an article for Rs. 1,134, Anu suffers as much loss as she would have gained by selling it at a 10% profit. If she sells it for Rs. 1,354.50, then her profit percentage is:
Option 1: 9%
Option 2: 8%
Option 3: 7.5%
Option 4: 8.4%
Correct Answer: 7.5%
Solution : Let the cost price of the article as C. According to the problem, Anu suffered as much loss by selling the article for Rs. 1,134 as she would have gained by selling it at a 10% profit. ⇒ C = 1134 × $\frac{100}{90}$ ⇒ C = Rs. 1,260 If she sells it for Rs. 1,354.50, then her profit is 1354.50 – 1260 = Rs. 94.50. Therefore, her profit percentage is $\frac{94.50}{ 1260}$ × 100 = 7.5%. Hence, the correct answer is 7.5%.
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