The difference between simple interest and compound interest on a sum for $2$ years at $8\%$, when the interest is compounded annually is ₹ $16$. If the interest were compounded half-yearly, the difference in $2$ years would be nearly :

The interest of the first year will be the same in both simple and compound annually, the only difference will be in the second year, which will be the extra interest on the first year’s interest.

Let the simple interest of $1$ year be ₹ $x$,

$8\% x = 16 \implies x = \frac{16}{0.08} = 200 $

Half yearly interest would be $\frac{200}{2}=$ ₹ $100$,