Hello Aspirant,

See as you have mentioned that right now you have to prepare for Boards as well so I would recommend you to give prior importance to your boards and try to secure more than 75% because the 75% relaxation is given only for this year and any how if you unable to crack JEE-Main this year then you have chances for next two years as well and if everything goes well in 2022 then there are huge possibilities that the 75% criteria would come back, so first of all get ready for boards.

Along with your board preparations you can keep continuing with your preparation of JEE-Main as the syllabus is quite similar except some topics which have been reduced from board's syllabus, but your prior importance should be Boards.

Now, according to the best percentile i.e., 55,  your rank is expected to be in the range of 460350 - 517500 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 :-

So on such rank and category you have no chance to get any of the NITs/IIITs/CFTIs, so I would recommend you to either go for state counselling for state GFTIs or for private colleges or you can prepare for further attempts of JEE-Main and to help you in your preparation we have some resources which you can access from the link given below :-

https://learn.careers360.com/jee-main-coaching/?utm_source=%20QnA

Note that the above prediction is made on the basis of latest cut-offs available on official website of JOSAA or CSAB and the 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.

To have a list of all those colleges which you can get based upon your marks, category, and state you can use JEE-Main College Predictor:-

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!!