Hi Karan! If your expected CAT percentile ranges between 85-95, you can apply to the following B-schools:

• SPJIMR Mumbai
• MDI Gurgaon
• IMT Ghaziabad
• Goa Institute of Management
• Xavier University, Bhubaneswar
• IFMR Chennai
• VGSoM IIT Kharagpur

To get the list of more B-schools you can apply if your CAT percentile is 85-95 percentile, read the following article:

https://bschool.careers360.com/articles/what-if-my-cat-percentile-between-80-and-90-do-i-have-any-chance-at-top-b-schools

As far as JBIMS is concerned, the admission to this premium B-School based in Mumbai takes place through MAH CET, CAT, MAT and CMAT. Last year's MAH CET cutoff for JBIMS was 125 (out of 200) for General candidates, which would be more than 95 percentile. Last year, JBIMS did not participate in the common counselling or CAP rounds conducted by Directorate of Technical Education but held Personal Assessment rounds. The process includes group activity, personal interview and written test. Final selection will be on the basis of performance in the personal assessment or selection rounds, along with the past academic and extra-curricular achievements.   

JBIMS has not announced admission for 2018-20 rounds yet. You may check last year's admission notification below:

https://bschool.careers360.com/news/jbims-announces-admissions-2017-accepts-cat-mah-cet-scores-221021