Yes there are higher chances for you for getting into NITs and specially new NITs.
Here is the formula by which you can calculate your rank
Thepercentile rank formulais: R = P / 100 (N + 1). R represents therankorder of the score. P represents thepercentile rank
This year about 8.65 lakh student appear for JEE mains so you can put that as n.
Also here I am providing you are linked by which you can predict your college

And for your convenience here is the link for cutoff of different NITs
https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

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