A person sold an article for 75 which cost him x. He finds that he realised x\% profit on his outlay. What is x equal to?
- A. 20%
- B. 25%
- C. 50% ✓
- D. 100%
Correct Answer: C. 50%
Explanation
Profit is x\%, so the Selling Price = x + \frac{x^2}{100} = 75. Multiplying by 100 gives x^2 + 100x - 7500 = 0. Factoring the quadratic equation yields (x+150)(x-50) = 0. Since cost must be positive, x = 50.
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