Question : When 175 is added to 12.5% of a number, the resultant is the number itself. What is the value of the number?
Option 1: 280
Option 2: 200
Option 3: 240
Option 4: 300
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Correct Answer: 200
Solution : When 175 is added to 12.5% of a number, the resultant is the number itself. x% of y = $\frac{\text{x}}{100}\times \text y$ Let the number be x. ⇒ $175+\frac{12.5}{100}\times \text x = \text x$ Solving for x, ⇒ $(\frac{100-12.5}{100})$x = 175 ⇒ x = $175 \times \frac{100}{87.5}$ = 200 $\therefore$ The number is 200. Hence, the correct answer is 200.
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