After click OK you will get another skype login screen to login in skype with another skype account
If above mentioned way is not works for you try mentioned below.
Find the Skype
executable file (Skype.exe) in: C:\Program Files\Skype\Phone\Skype.exe
Right click on it and select Send to Desktop>
(create shortcut)
Locate the shortcut on the desktop, then right click on it and select Properties
In the Target field, add: / secondary. The Target field should now be "C:\Program Files\Skype\Phone\Skype.exe" /secondary
Locate the shortcut on the desktop, then right click on it and select Properties
In the Target field, add: / secondary. The Target field should now be "C:\Program Files\Skype\Phone\Skype.exe" /secondary
Click OK Now you just double click on that shortcut and you will get another skype login screen to login another skype account.
Its done Enjoy !!!!! :)