@Shahin yes i did add the following lines to /etc/apache2/sites-available/000-default.conf file and now all routes are working fine.

<Directory "/var/www/html">
    AllowOverride All
</Directory>

i posted a new thread for the same. https://laracasts.com/discuss/channels/laravel/laravel-deployment-on-ec2-ubuntu-1404

@WPS2 , Yap, I got the same things & want to sharing with you :) But you have already solution for this, great man!