Hello Aspirant,

According to the percentile you have mentioned your rank is expected to be in the range of 317130 - 356500 , you can check out marks Vs ranks Vs Percentile from the link given below :-

https://engineering.careers360.com/articles/jee-main-marks-vs-percentile

Or

You can also use JEE-Main Rank Predictor to predict your rank :-

Now on such rank and category you can get some private colleges like :-

School of Engineering, University of Petroleum and Energy Studies, Dehradun

BTU Bikaner

Bharati Vidyapeeth Deemed University College of Engineering, Pune

Amrita School of Engineering, Coimbatore

Engineering College Bikaner

Nirma University, Ahmedabad

MIT College of Engineering, Pune

Symbiosis Institute of Technology, Pune

You can check out the link given below for more details :-

https://engineering.careers360.com/articles/low-jee-main-rank-check-which-colleges-you-can-get

Note that the above prediction is made on the basis of previous cut-offs and cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.

So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India on the basis of your JEE-Main 2021 result :-

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

You can also check out the JEE-Main 2021 qualifying cut-off (expected) for JEE-Advance 2021 from the link given below :-

https://engineering.careers360.com/articles/jee-main-cutoff

I hope this information helps you.

Good Luck!!