Hello,

Look every year cutoff marks change. Because of the the question pattern, candidates number, merit basis etc. So if you get 90 marks in JEE Mains then this year percentile is 92%  but upcoming year it will be change. Also the rank in between 78000 to 82000. This is huge rank but you can apply for JEE advanced examination.

Now come to the management quota admission. If you want to join engineering college through management quota then you have to pay extra fees other than tution fees which is management quota fees and it's decided from college authority. No one will no because it's confidential. So you have to directly contact the college authority to management seats and they will tell you everything.

All the best.