Question

if every state follows its local time what problems will arise

Answer 1

if so happens, then a ton of problems will arise
1. shows can't be broadcasted at a given time
2. there would be regional broadcast centres.
3. Travelling would become a haphazard.
4. Eastern and western end of india will experience a huge time difference.
5. flight and train schedule will go haywire.
6. there would be confusion all around