I own a City Vario as well. This is no big issue. I have faced the same problem once. All it needed was a perfect tuning. That is it! Nothing more.
I am in Karachi, maybe the mechanics here work finer. But this is how it all got resolved.
The transmission's issue is detected when you move your car from idle. At that point, it takes a slight vibration and a sort of dragging.
But this problem is different.