If 625/0.625 = 62.5/x, then the value of x is

To find the value of x, we solve the equation: 625 / 0.625 = 62.5 / x.

First, simplify the left-hand side (LHS):
LHS = 625 ÷ 0.625
Since 0.625 = 625 / 1000, then:
LHS = 625 ÷ (625 / 1000) = 625 × (1000 / 625) = 1000.

Now, substitute this value back into the equation:
1000 = 62.5 / x

Rearrange the equation to solve for x:
x = 62.5 / 1000
x = 0.0625.

Dividing 62.5 by 1000 (or 10³) involves shifting the decimal point three places to the left, which gives 0.0625. Therefore, option A is correct.