hi,

see at this percentile your estimated rank would be 358050 - 402500 , as per careers360 jee main rank predictor tools. see cutoff score varies with the determining factors like number of applicants, questions difficulty level, seat matrix, students category etc.

however at this percentile you have less chances for any government institute, let along with your category, also there is tough chances for tier 1 private institute.

so try to bring score around 90 percentile to secure a tier 1 institute.

To know about complete list of probable college name, based on your score, category please use Careers360 college predictor tool,

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer