Hi

There's no NIT in Mumbai, there is NIT Nagpur in Maharashtra

Your profile suggests that your homestate is Maharashtra and thus eligible for home state quota in NIT Nagpur

I am assuming that you belong to general category

This is a bit difficult to predict the marks/percentile/rank required in JEE mains to get a seat as cut off  keeps changing every year  depending upon various factors like  number of students that appeared in the exam, kind of marks obtained by them , toughness level of the jee main examination , number of seats available for the branch you want etc.

But yes,

When we go through previous year trend then ,

In round 6 of josaa counselling 2020 ,   43840 was the closing rank for gender neutral for general category for home state in National Institute of Technology, Nagpur and it was for Mining Engineering

You can check the same at

https://josaa.nic.in/Result/Result/currentorcr.aspx

And to get around rank 43840, you need at least around 96 percentile as per our rank predictor at

To have a personalised report on your chances of getting a college you can go through our college predictor, it will give you complete list of colleges which you can get on the basis of the category you belong to,  your home state, your gender etc, the link for  jee main college predictor is provided below

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

To help you further,

To give you an idea of qualifying cut off, JEE mains 2020  qualifying  CUT OFF percentile to be eligible for jee advanced  is given below for different category

>>>> General :-     90.3765335

>>>> GEN-EWS :-  70.2435518

>>>> OBC-NCL :-  72.8887969

>>>> SC     :-           50.1760245

>>>> ST :-                39.0696101

>>>> PwD :-            0.0618524

You can check the same at our page the link is provided below

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

Thankyou