I want to say something about using mobile banking accounts. India is one of the largest countries and has beautiful places that attract tourists to visit India. It would be good If the Indian government could give a facility for the tourist to use mobile banking like Paytm. They may put some restrictions. We can buy a Sim card using the Passport, and mobile banking should be the same. They can put some limitations like you cannot cash out more than 10K INR/day or similar would help if they see any security risks. That's just my opinion. I don't know what they think about it.
Foreign tourist can open Bank account. They are called NRO accounts, wherein you can only deposit and withdraw INR. I am not sure you would qualify for it. These accounts are mainly used by foreigners who come to India and work here. Some tourist stay for a period of time as they want to visit every location in India. They also are advised to open NRO accounts. You can search the web for more details. In the end it all depends on how long you plan to stay in India.