Hi Mr. Arpit,
There are three levels of service for Honda City ZX:
1. At 1500 kms. (Its a short of check up that honda city does about the working condition of the new car, no oil change, no brake oil change, nothing of that sort is done.) This is free of cost.
2. At 5000 kms. (Change in brake oil, engine oil and other minor repairs) This would cost you about 580.
3. At 10, 000 . Same as 5000.
The major cost of first three services is born by Honda City.
Then you need to get your car serviced at every altrenate 5000 kms. Hope this should answer all your queries.
Thanks and Regards