Hey!

With 508 marks you will get a rank around 38822-44553. You can check it here

You didn't  mention your category, so I am assuming you're of general category.

Based on previous year cut off, you will not the a government medical seat in Uttar Pradesh. You have a chance of getting a seat in the all the private medical colleges in Uttar Pradesh. Some of them are -

1. Sri Rammurti Smarak Institute of Medical Sciences, Bareilly . The annual fees is Rs.11,40,000
2. Rohilkhand Medical College and Hospital, Bareilly, The annual fees is Rs.10,81,000.
3. Saraswati Institute of Medical Sciences, Hapur, the annual fees is Rs.11,05,000.

To know more about Uttar Pradesh cut off, check here https://medicine.careers360.com/articles/neet-cutoff-up

Having said that, the cut off of medical colleges varies every year based on a number of factors such as number of candidates appearing for the exam, number of candidates qualified, top NEET score and difficulty of the exam. The above data is according to previous year cut off.

To get a list of colleges in which you have a chance of getting a MBBS/BDS seat, you can use NEET College Predictor here