When 125 is subtracted from a number, it reduces to its 37.5 percent. What is 25 percent of that number ?

Solution(By Examveda Team)

Let the number be x
Then,
$$\eqalign{ & \Rightarrow x = 125 = 37\frac{1}{2}\% {\text{ of }}x \cr & \Rightarrow x - 125 = \frac{{75}}{2} \times \frac{1}{{100}} \times x \cr & \Rightarrow x - 125 = \frac{{3x}}{8} \cr & \Rightarrow x - \frac{{3x}}{8} = 125 \cr & \Rightarrow \frac{{5x}}{8} = 125 \cr & \Rightarrow x = \left( {\frac{{125 \times 8}}{5}} \right) \cr & \Rightarrow x = 200 \cr & \therefore 25\% {\text{ of 200}} \cr & = \left( {\frac{{25}}{{100}} \times 200} \right) \cr & = 50 \cr} $$