JEE

It depends on your state of domicile and how much financial backing you have .
In state level colleges, you may get CSE with this percentile, with home state quota.
Rajasthan Engineering Admission Process (REAP) , has decent govt colleges at Jodhpur, Kota, Udaipur etc and it also gives admission on the basis of JEE Main. Here 15% seats are for outside candidates. Even 90 percentile in JEE main can fetch you a seat there.
Similarly admission to GGSIP University, Delhi, is by your JEE Main rank. Here there are 3 -4 decent colleges, USICT, MSIT, MAIT etc. Fee is much less, when compared to other private colleges. Your entire B Tech course fee will be 6 - 7 lakh.

As I was AJEE aspirant and I got the same rank (about 32000) in my first attempt I think I am eligible to answer your question. As JEE 2020 results were declared I was broke completely. 2 years of sheer hardwork and dedication went in vain. I didn't even want to register for Josaa'20 as I knew it would fetch me nothing what I desired. So I made a decision about taking a drop as I neither wanted to get into a private college nor I could afford it is expenses. I dropped. JEE 2021
After 1 year of rigorous practice and hardwork. It was time for (D-Day) 8th April 2021. Luckily or unluckily (I do not know what to say xD) my exam centre was my own school DAV public school Bistupur. I saw the toughest JEE Mains paper of the decade (even today I get chills thinking about that paper, it was created by Satan himself xD). I (bubbled) my exam and after 3 hours rushed towards my father. And he asked, (Beta exam kaisa Gaya) I said, (Ram Bharosa and ahi firse drop na krna pade). When the results were declared atleast I got a rank (16000) good enough to get NIT Trichy metallurgy. In the end of the day after all this I am satisfied with whatever I got. As you are same situation as I were, my suggestion would be to you take drop and study as hard as possible for this 1 year and you will definitely get a better rank.