@sunil
For some reason, I can't open the screen shot you attached. Nevertheless, see if the following works for you:-
I assume you have run the network setup wizard. In any case run it again on both comps and give the name for workgroup during the setup. Use the same workgroup name for both comps (although its not necessary, but just to be kinda safe)
Restart both comps
Share one folder on one comp - right click on folder - properties - sharing and security - select share this folder.
Uncheck 'Allow users to modify my files' unless you want otherwise.
Click OK/Apply.
Try accessing this folder from the other comp.
If you get access denied,
open my computer, Tools- folder options - 'View' tab - scroll down to last and uncheck 'Use simple file sharing'
Click OK/Apply
Now, right click on the shared folder - properties - click 'Security' tab.
Click on add and add new entry <Everyone> (w/o brackets)
Click OK
Verify permissions for <Everyone>
You should be able to access this folder from other comp now.
Hope this helps, and sorry for delay in reply.
@ Nish
May be I can help you if you tell me the layout of your network a little more clearly.
Is it something like
BSNL Router -> 8 Port switch -> TPLink -> Your comp ??
Have you subscribed for multiple connections?
Is your comp configured for automatic IP address or is it Manually configured?