a) 5%
b) 5.25%
c) 5.5%
d) 6%

Answer: c
Explanation:
$$\eqalign{ & {\text{Let the rate be R}}\% {\text{ p}}{\text{.a}}{\text{.}} \cr & {\text{2000}}{\left( {1 + \frac{{\text{R}}}{{100}}} \right)^2} = 2226.05 \cr & {\left( {1 + \frac{{\text{R}}}{{100}}} \right)^2} = \frac{{222605}}{{200000}} \cr & {\left( {1 + \frac{{\text{R}}}{{100}}} \right)^2} = \frac{{44521}}{{40000}} \cr & {\left( {1 + \frac{{\text{R}}}{{100}}} \right)^2} = {\left( {\frac{{221}}{{200}}} \right)^2} \cr & 1 + \frac{{\text{R}}}{{100}} = \frac{{211}}{{200}} \cr & \frac{{\text{R}}}{{100}} = \frac{{11}}{{200}} \cr & {\text{R}} = \frac{{11}}{2}\% \cr & {\text{R}} = 5.5\% \cr} $$