Explanation:

To calculate compound interest compounded semi-annually:

- Principal (P) = Rs 15,000

- Annual interest rate (r) = 8% = 0.08 annually

- Time (t) = 1 year

- Number of times interest compounded per year (n) = 2 (semi-annually)

The formula for compound interest is:

$$ A = P \left(1 + \frac{r}{n}\right)^{nt} $$

Substitute the values in the formula:

$$ A = 15000 \left(1 + \frac{0.08}{2}\right)^{2 \times 1} = 15000 \left(1 + 0.04\right)^{2} = 15000 \times 1.0816 = 16,224 $$

- Total amount (A) = Rs 16,224

- Interest = A - Principal = Rs 16,224 - Rs 15,000 = Rs 1,224

- Option 1: Rs 1,224

- Option 2: Rs 6,224

- Option 3: Rs 1,200

- Option 4: Rs 16,224

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