Hello,
NOC
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
Road Tax
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 !!