When 125 is subtracted from a number, the result equals 37.5% of the original number. Find 25% of that number.

Question

Accepted Answer

Let the number be $$ x $$. According to the problem:  
$$
x - 125 = 37.5\% \, 	ext{of} \, x
$$  
Convert $$ 37.5\% $$ to a fraction:  
$$
x - 125 = \frac{37.5}{100} 	imes x = \frac{3x}{8}
$$  
Simplify the equation:  
$$
x - \frac{3x}{8} = 125
$$  
Combine terms:  
$$
\frac{5x}{8} = 125
$$  
Solve for $$ x $$:  
$$
x = \frac{125 	imes 8}{5} = 200
$$

Now, calculate $$ 25\% $$ of $$ x $$:  
$$
25\% \, 	ext{of} \, x = \frac{25}{100} 	imes 200 = 50
$$

Thus, $$ 25\% $$ of the number is **50**.

Answer

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