Hello dear
You have not mentioned your category dear , so I am assuming that you are from unreserved category. 
Actually for unreserved category 550 + marks is what that is needed even to think of getting a government college under all india quota. 
For example,  last year marks required in neet for general category to get a seat in Patna Medical College, Patna was 557 marks under all india quota
So dear it is difficult for you to get a seat with 508 marks in neet . But for now be optimistic,  you never know what could happen next .
thankyou
Please feel free to ask your further queries if any.

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