Private institute like BIT Mesra, Jaypee Institute, Thapar Institute take admission through JEE main.

130-150 marks will be good enough to get admission in these.

Hello student some of the best private engineering college offer admission through jee main are as mentioned below -

1. SRM University Chennai - SRM Institute of Science and Technology
2. LPU Jalandhar - Lovely Professional University
3. Bharati Vidyapeeth Deemed University College of Engineering, Pune
4. School of Engineering, UPES Dehradun - School of Engineering University of Petroleum and Energy Studies
5. REVA University, Bangalore
6. Heritage Institute of Technology, Kolkata
7. Amrita School of Engineering, Coimbatore
8. Nirma University, Ahmedabad
9. Techno India University, Kolkata
10. VIT Pune - Vishwakarma Institute of Technology
11. SIT Pune - Symbiosis Institute of Technology
12. AIT Pune - Army Institute of Technology
13. KJ Somaiya College of Engineering, Mumbai
14. BIT Mesra - Birla Institute of Technology
15. Presidency University, Bangalore

I request you to please help me with your preferable college so that I can check and provide you the exact information about admission process and eligibility requirements,as it  vary from college to college.

For more details refer to the link mentioned below - https://engineering.careers360.com/colleges/list-of-private-engineering-colleges-in-india-accepting-jee-main

Feel free to comment if you've any doubt

Good luck