This is really good stuff Karan. I am glad to know about how you working towards it. India needs the change of perspective. Let me know if I can contribute :)
I feel if you get a good response we can find more volunteers like the retired professors and teachers who would be able to give better professional help.
Ridhi Foundation from Calcutta headed by @saurabh dhanuka is doing something similar. They have 40–50 kids in salt lake area.
Let me know if you need more info on this.