Hello!
Yes you have chances to get a seat in a private medical college. Following are some Colleges which you can check:
1. Dr. D.Y Patil Medical College, Kolhapur -Mumbai.
2. Sharda University, Noida.
3. KIIMS, Bhubaneshwar- Orissa.
4. St. John Medical College, Banglore.
5. Saraswati Institute of Medical Sciences, Uttar Pradesh.
6. Appolo institute of medical sciences, Hyderabad.
7. Bhaskar Medical College, Hyderabad.
There are many more, and you can check that by using the link: https://www.careers360.com/college-predictor
Good luck!

Hi Soni,  If you have qulaified NEET then yes you can get an admission in a private medical college in the management quota.  Manipal University might be a good option according to the fees range you have mentioned.