Your Domain Assigning (A Records) is where you can put the IP address you want the domain name to be associated with. This is all well and fine unless it is what you want which is sub-directories of the domain.
You might be able to use the CNAME to point one domain to the other domain, although I am not sure if the CNAME function allows sub-directories, I believe it only points one qualified domain sub-domain to another qualified domain or sub-domain.
So if you had the ability to create a sub-domain you could do this. You could configure newsite.aieseckolkata.org to be loacted at http://www.xyz.com/websites/files/
and then configure aieseckolkata.org to point to newsite.aieseckolkata.org in the CNAME record.
The EASY way is to just get a ZoneEdit account, configure the forwarding, edit the DNS records and you are done.