At the same time, There are different reputations showing as following.
- Askubuntu main user
- Meta-Askubuntu user
- StackExchange Leagues
My question is Why it is showing different? (In other words Howmuch time takes to refresh?)
There's certainly a delay in the network reputation updates. This is largely because syncing this stuff in realtime is a complete nightmare in terms of network and data design. Cached updates are a way of life these days. They keep the internet alive.
The amount of time appears to vary. I don't know what the exact process is so I can't tell you if there's some form of object cache invalidation triggering after a timed period or if it's just a raw push at an interval.
I think the important thing to remember is that it doesn't really matter. Your reputation here is accurate and it will become accurate everywhere eventually.