Indian Institute of Technology, IIT Bombay

Hello Shrushti, it's very nice to hear from you that you are interested in doing the most famous aeronautical engineer in course in Mumbai IIT. But I am afraid that nearly passing JEE Mains is not enough since admissions in this institute for graduation in this branch are based on the ranking obtained by the student in JEE Advanced. You need to come within the first two and half Lacs students in JEE Mains to make you eligible to appear for or JEE Advanced and then score handsomely in this examination to get admission in your dream course. Best wishes to you.

Hello Dinabandhu Hota, I am sure, with a percentile at 96, you will get a good NIT. Last time cut off was at around 90 percentile for general category candidates. Assuming it remains similar this year, you will have indeed great chances of getting into good NIT. Best wishes to you.

The previous years All India category wise closing ranks of IIT-B under asked category (Gender Neutral) for B.Tech CSE are given below for an idea. Year 2020 : 13 (27 for female)
Year 2019 : 15
Year 2018 : 09
So keeping the above trends in consideration the All India Category rank between 10-12 can be safe here for admission in asked course. So you have to score above 300 marks in JEE Advanced.

Yes, you can get admission as this is a pretty good score!