For NOC and State Transfer process - refer this article on - Inter State Car Transfer
In terms of number of days - can take anywhere around 15 days based on RTO from date of submission
For Road Rax - it varies based on vehicle ex-showroom price and would be calculated on depreciated value as per below slabs
> If Car Price < 5 Lakh - 7%
> If Car Price between 5 - 10 Lakh - 10%
For more details refer this post - Car Road Tax in India
Hope should help !!