Dear student,

First of all, you must mention the Field or stream name, that for which stream you want to know the low budget college.
Now assuming that you are from engineering Field, then the two of the lowest budget colleges in India are - JADAVPUR UNIVERSITY and UNIVERSITY OF CALCUTTA.
In jadavpur university, then annual tution fees is nearly Rs. 5000 and the library fees and examination fees are Nealy around Rs. 80 to Rs. 30.
Now coming to University of calcutta, then the annual tution fees for engineering departments are nearly around Rs. 8000. The examination fees and library fees costs around Rs. 100 and Rs. 50.

And in both universities some basic expenses will be charged, but that will cost you around Rs. 50 to Rs.60.

But for getting these two top universities, you must have to crack WBJEE exam and secure atleast under 2000 rank or 1000 rank from general category, because you are fron bihar.