Hey,

To get a get rank of 4000 your score needs to be around 200-214 out of 300 and your percentile should be around 99.57503767- 99.73930423. However, your admission into NITs will also depend on factors like eligbility, reservation criteria, availibilty of seats in partcular branches , etc.

For detailed information about JEE Mains score vs rank vs percentile please visit : https://engineering.careers360.com/articles/jee-main-marks-vs-percentile

Hope this helps you.

Thank you.