How to correctly specify image links in a content type? How to correctly specify img src  like  inside a content like Basic page or Blog, which does not break even when  site is accessed as   http:/example.com/drupalsite or  http://example.com/ and  while accessing as  http:/example.com/node/2 or  http://example.com/path-auto-title ?
First set $base_url in your settings.php file in sites/default/ directory.
I am sure you are using ckeditor or some other editor. In editor setting use use relative URL for images and links. 
Make sure your Apache mod_rewrite or rewrite_module is enabled.