Hello dear aspirant,

Hope you’re doing well.

With this percentile of 96, your predicted rank would come somewhere between 40920 to 46000.

To find your best options of college and institutes within this rank, please use the JEE Mains college predictor tool. I am attaching the link below.

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

Hope this helps.
plz ask if you have any more queries .
good luck!