I think with this percentile your rank would be around 100k so, I feel sorry to say that it is quite impossible to get an Nit because even with the lower ranking nits they tend to close around 70k-80k.Also have look into previous year year rank cutoff for better clarity.The link to it is given below

https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits&ved=2ahUKEwjDmMC4ud7iAhWBX30KHX4BBKAQFjACegQIBBAB&usg=AOvVaw10FzGO-YaxjOEFg23irPD_

Hi Candidate,

As you have not mentioned which category you belong to ,you can refer to the link given below which gives the cut off trendsof jee  of NIT's,IIT's for different categories and choose the best college.

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

All the Best