If the rate of interest be 4% per annum for first year, 5% per annum foe second year and 6% per annum for third year, then the compound interest of Rs.10000 for three years will be ?

Solution(By Examveda Team)

$$\eqalign{ & {\text{ = Rs}}.10000\left[ {\left( {1 + \frac{4}{{100}}} \right)\left( {1 + \frac{5}{{100}}} \right)\left( {1 + \frac{6}{{100}}} \right)} \right] \cr & = {\text{Rs}}.\left( {10000 \times \frac{{26}}{{25}} \times \frac{{21}}{{20}} \times \frac{{53}}{{50}}} \right) \cr & = {\text{Rs}}.\left( {\frac{{57876}}{5}} \right) = {\text{Rs}}.11575.20 \cr & {\text{C}}{\text{.I}}{\text{. = Rs}}{\text{.}}\left( {11575.20 - 10000} \right) \cr & \,\,\,\,\,\,\,\,\, = {\text{Rs}}.1575.20 \cr} $$