Question $3.$ On $1$ October $2014,$ Holiday Company had $$2\mathrm{.}5$ million of equity share capital $($shares of $50$ cents each$)$ in issue. No new shares were issued during the year ended $30$ September $2015,$ but on that date there were outstanding share options which had a dilutive effect equivalent to issuing $1\mathrm{.}2$ million shares for no consideration. Holiday Company's profit after tax for the year ended $30$ September $2015$ was $$1,550,000.$ What is Holiday Company's diluted earnings per share for the year ended $30$ September $2015?$

$(20$ marks$)$