Dear

You should go for top private colleges since your CBSE % is good despite of getting a low score in mains.

I am giving a link of jeemain cutoffs of previous years

Which contains

Category wise jeemain minimum qualifying percentage

Past Years jeemain Cutoffs which further includes year wise cutoffs , course wise cutoffs , and college wise cutoffs.

This will help you find a suitable college according to your rank!

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

Also check this college predictor to find suitable college according to your rank.

https://engineering.careers360.com/articles/jee-main-college-predictor

Good luck and keep asking!!