Hey! 

You do have fair chances of making into the top IIMs above 92 percentile. Utilize this opportunity and prepare well, you have a better opportunity than the open category to clear it. Even in FMS, you won't need more than 90 percentile. Rest depends upon the second round. Best wishes! 

Ypu will need a score in excess of 90 percentile based on your past academic records. Give it your best shot and you will definitely get a seat.

All the best!

A percentile above 97 would give you a convert at FMS at the scores mentioned above.

This year FMS has changed its selection criteria. It gives 60% weightage to CAT score and 40% to other factors. If you get above 97 percentile, you have high chances of converting the call

you can check the previous year trend 

https://bschool.careers360.com/articles/fms-delhi-cutoff

most probably you will have to clear cat exam in accordance with the previous year trend and the previous year marks will only play a slight role during a personal interview.