I am providing some college names in PATNA which provides decent placement with low fees in patna as you belong to bihar.

1.R.P sharma Institute of technology

2.Chandragupt institute of management

3.Birla Institute of technology

You can also give good colleges by giving top entrance exam for mba such as CAT/MAT/ GMAT.all the top colleges accepts these entrance marks to get admission in their mba program. studying in top colleges makes your future better and provide top notch placement as well.