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
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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