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 $\frac{200}{2}=$ ₹ $100$,

Half yearly rate would be $\frac{8}{2} = 4\%$

Extra interest if it were half-yearly

$ \begin{align} &= 100 \times(1.04^3 + 1.04^2 + 1.04 - 3) \\ &= 100 \times 0.246464 \\ &= 24.6464 \end{align}$

**Option D is correct.**

After we get the interest value, we can find the exact principle value, which is actually not required here,

Let principle value be $p$,

$8\%~p = 200 \implies p = \frac{200}{0.08} = 2500$

Compound interest for 2 years compounded half-yearly $ = 2500 \times ( 1.04^4 – 1) = ₹ 424.6464$

Simple interest for 2 years will be simple $2\times 200 = ₹400 $

difference $= 424.6464 – 400 = 24.6464$