If $\frac{625}{0.625} = \frac{62.5}{x}$, then the value of x is

If $\frac{625}{0.625} = \frac{62.5}{x}$, then the value of x is

0.0625
0.00625
6.25
0.000625
This question was previously asked in
UPSC CISF-AC-EXE – 2024
The value of x is 0.0625.
The given equation is $\frac{625}{0.625} = \frac{62.5}{x}$.
First, evaluate the left side of the equation:
$\frac{625}{0.625} = \frac{625}{\frac{625}{1000}} = 625 \times \frac{1000}{625} = 1000$.
Now substitute the value back into the equation:
$1000 = \frac{62.5}{x}$
To solve for x, multiply both sides by x and divide by 1000:
$x = \frac{62.5}{1000}$
Dividing $62.5$ by $1000$ means moving the decimal point three places to the left:
$x = 0.0625$.