Hi aspirant...!

Hope you're doing great...!

So, with regard of you're query.  It is difficult to predict your rank based on your score in AEEE as it varies considering different factors like number of students appear for the exam, number of question asked in exam, difficulty level of question, performance of the students.

Analyzing previous year's cutoff with 87 percentile your rank will be under 3000. You secured a very good score.

Hope this  will helps you..!

GOOD LUCK....!