Hello aspirant,
Hope you are doing well. Yes , you can get private college for bams in Maharashtra state with 310 marks. Although getting seat depends upon various factors like number of students appeared in the exam, category, AIQ rank, region, state rank,etc.
If you want to predict college according to your rank then follow the given link:-
https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_cp

Hope this information will help you .
Good luck!

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