The Indian Goverment has a budget of Rs. 1541 Crores (£155,000,000~) for the Sports Department

http://www.hindustantimes.com/union-budget/sports-ministry-g...

And the space program has a budget of Rs. 7,927 crore (£799,871,700) according to wikipedia.

So to address your point, yeah India spends quite a bit on Sports, but no way near as much as their Space Program.