Hello there!

Opting for a Private Medical College for pursuing MBBS with a score of 513 is a good choice. You have a fair chance of getting admission into any of these Private Medical Colleges listed below.

1. Kasturba Medical College, Mangalore

2. St. John's Medical College, Bangalore

3. Hamdard Institute of Medical Science and Research, New Delhi

Here is the complete list alongwith fee structure of Private Medical Colleges accepting NEET score.

https://medicine.careers360.com/colleges/list-of-private-medical-colleges-in-india-accepting-neet

For more information on expected colleges you can get on the basis of your NEET score, use this college predictor tool.

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

Good Luck!