Your experience is common with ATI drivers. The original driver had nothing to do with your laptop being slow. The built-in video uses an ATI chipset but it is not necessarily identical to a retail product. The computer manufacturer (Sony in your case), provided an OEM driver designed for what is inside your computer. ATI periodically offers updated drivers, but these frequently do not work with OEM hardware. I'm only guessing that remnants of the new driver remained when you tried to reinstall the old one. When you disabled it through the device manager, the computer was running with some basic video drivers, which is why it looked bad.
The only place to get drivers for the OEM hardware is from the computer manufacturer (unless you can't). Here is a Link to Sony's download page. You will need to find your particular laptop, which you didn't identify in the question. Download the latest driver (don't be surprised if it hasn't changed from the original; there is rarely a need to change the original drivers).
Re-enable the display adapter in the device manager. Completely remove the ATI drivers following the instructions here from the AMD web site. Although it isn't mentioned in those instructions, you may need to do the uninstall in safe mode. Then install the driver downloaded from Sony.
If the problem remains, it is likely that all of the remnants of the new driver were not removed. There are a number of third party removers. AMD used to have a separate removal program. Some online discussion indicates that it may still be available, buried on the ATI driver downloads page. From the comments, I understand that you tried the one covered here successfully, running it in safe mode.
I tried by installing original driver downloaded by sony vaio website but problem still persists. – A. Prasad – 2014-10-08T05:43:55.647
Did you remover the old driver according to the instructions at the AMD link? – fixer1234 – 2014-10-08T05:46:45.500
Yes dear I uninstalled that way, restarted, used CCleaner after that re-installed. – A. Prasad – 2014-10-08T05:57:02.077
This link: http://www.sevenforums.com/graphic-cards/224739-how-completely-remove-amd-ati-applications.html is a few years old but you might find the discussion useful. AMD used to have a separate removal tool that cleaned up all of the remnants but I'm not finding current links to it. There are a number of third party programs but I'm not familiar with them, for example: http://forums.guru3d.com/showthread.php?t=379505. It might be worth contacting AMD customer support.
– fixer1234 – 2014-10-08T06:12:18.507thanks a ton dear. after alot of efforts it worked. I used Display Driver Uninstaller in safe mode and re-installed original driver and it worked. I got it from http://forums.guru3d.com/showthread.php?t=379505
– A. Prasad – 2014-10-08T07:52:01.257Thanks for getting back with the solution that worked for you. It's always good to get validation for a tool I haven't personally tried. Glad you got the problem solved. I added the information to the answer. – fixer1234 – 2014-10-08T12:04:01.920