Explanation:

To determine the simple interest, we can use the formula:

$$\text{Simple Interest}=\frac{P\times R\times T}{100}$$

Where:

- P = Principal amount (Rs. 27,000)

- R = Rate of interest per annum (14 2/3 % = 44/3 %)

- T = Time in years (8 months = 8/12 = 2/3 years)

Calculating further:

1. Convert the rate to a fraction: 14 2/3 % = $\frac{44}{3}\mathrm{\%}$

2. Time in years: $\frac{8}{12}=\frac{2}{3}$

Now substitute into the formula:

$$\text{Simple Interest}=\frac{27000\times \frac{44}{3}\times \frac{2}{3}}{100}$$

$$\text{Simple Interest}=\frac{27000\times 44\times 2}{3\times 3\times 100}$$

$$\text{Simple Interest}=\frac{2376000}{900}$$

$$\text{Simple Interest}=2640$$

So, the correct option is:

- Option 4: Rs.2,640