Step 1: Use the formula for shunt resistance.
The shunt resistance \( R_s \) is given by:
\[
R_s = \frac{R}{n - 1}
\]
where \( R \) is the resistance of the galvanometer and \( n \) is the factor by which the current is divided.
Step 2: Calculate the shunt resistance.
Here, 10 percent of the current passes through the galvanometer, so \( n = 10 \). Substituting the values:
\[
R_s = \frac{99}{10 - 1} = \frac{99}{9} = 11 \, \Omega
\]
Step 3: Conclusion.
The shunt resistance is 11 ohm, which is option (2).