Hi, 

According to last years cutoffs with your score and domicile you have a fair chance of getting a seat in a government college under the 85% state quota.

Last year the following colleges had their cutoffs around your score(these are the cutoffs for BC category):

-Anugraha narayan magadh medical college, gaya-531
-GMC, bettiah-519
-Vardhaman institute of medical sciences, nalanda-526

However this analysis is based on last years cutoffs and the cutoff trend changes every year. So nothing can be said with absolute certainity. 

I shall give the link below for more info:

https://medicine.careers360.com/articles/neet-cutoff-bihar/amp

All the best.