Current sensitivity of a galvanometer is defined as the number of divisions per unit current. The current sensitivity \( S \) is given by:
\[
S = \frac{\text{deflection}}{\text{current}}
\]
Given that the deflection is 25 divisions for 0.1 A, we have:
\[
S = \frac{25}{0.1} = 250 \, \text{div/A}
\]
Thus, the current sensitivity of the galvanometer is \( \boxed{250 \, \text{div/A}} \).