The correct answer is: $5,000.

200,000 shares * (25c * 10%) = $5,000.

$12,500 is incorrect. Dividends are only paid on issued share capital (200,000 25c shares) not authorised share capital.

$20,000 is incorrect. You have taken 10% of 200,000. This is not the nominal value of the shares since there are 200,000 25c shares ie. $50,000 in nominal value terms.

$50,000 is incorrect. You have taken 10% of the authorised 500,000 shares. This is wrong on 2 counts: firstly, dividends are only paid on issued share capital (200,000 shares); secondly the dividend is expressed as a percentage of nominal value. Since these are 25c shares, the nominal value of issued shares is 200,000 * 25c = $50,000 worth, hence 10% of $50,000 is the dividend.