What is the dividend per share?

The company has 800 preference shares of \2$each, with a$4%$ dividend rate.

$$\text{Total Preference Dividend} = \text{Number of Preference Shares} \times \text{Nominal Value per Share} \times \text{Dividend Rate}$$

$\text{Total Preference Dividend} = 800 \times \$2 \times 0.04$ $\text{Total Preference Dividend} = \$1,600 \times 0.04$ $\text{Total Preference Dividend} = \$64$

The net profit after interest and tax is \256$. Preference dividends are paid before ordinary dividends.

$$\text{Profit Available for Ordinary Shareholders} = \text{Net Profit after Interest and Tax} - \text{Total Preference Dividend}$$

$\text{Profit Available for Ordinary Shareholders} = \$256 - \$64$ $\text{Profit Available for Ordinary Shareholders} = \$192$

The dividend cover is 2 times. Dividend cover is calculated as Profit Available for Ordinary Shareholders divided by Total Ordinary Dividend.

$$\text{Dividend Cover} = \frac{\text{Profit Available for Ordinary Shareholders}}{\text{Total Ordinary Dividend}}$$

Rearranging the formula to find the Total Ordinary Dividend:

$$\text{Total Ordinary Dividend} = \frac{\text{Profit Available for Ordinary Shareholders}}{\text{Dividend Cover}}$$

$\text{Total Ordinary Dividend} = \frac{\$192}{2}$ $\text{Total Ordinary Dividend} = \$96$

The company has 3,200 ordinary shares.

$$\text{Dividend per Ordinary Share} = \frac{\text{Total Ordinary Dividend}}{\text{Number of Ordinary Shares}}$$

$\text{Dividend per Ordinary Share} = \frac{\$96}{3,200}$ $\text{Dividend per Ordinary Share} = \$0.03$

The dividend per share is \0.030$, which corresponds to option A.

The final answer is \boxed{\text{A } \0.030}$.