Answer : Option C

Explanation :

Let Simple Interest for Rs.150 at 6% for n years = Simple Interest for Rs.800 at 4½ % for 2 years
$MF#%\begin{align}&\dfrac{150 \times 6 \times n}{100} = \dfrac{800 \times \dfrac{9}{2} \times 2}{100} \\\\ &150 \times 6 \times n = 800 \times \dfrac{9}{2} \times 2 \\\\ &150 \times 6 \times n = 800 \times 9\\\\ &3 \times 6 \times n = 16 \times 9 \\\\
&6 \times n = 16 \times 3\\\\
&2 \times n = 16\\\\ &n = 8\text{ years }\end{align}$MF#%