CAT cut offs for 2020 for IIM K have been as follows:

With scores far better than the required minimum aggregate, you should be shortlisted for IIM K. The shortlisting is based on Aggregate Index Score Computation. And it looks like this:

CAT 2019 score: 45% weightage

Class 10th % score: 30% weightage

Class 12% score: 15% weightage

Gender/Academic Diversity score: 10% weightage

The details of each component can be checked at their official page: https://www.iimk.ac.in/academics/pgp/IIMKPGPAdmissionsPolicy2020.pdf Only female candidates are considered for Gender Diversity. So that is one place where you can gain few points.And the rest, with your academic marks, you should be shortlisted. Scaled scores from the 3 sections of CAT will be considered for the computation of CAT Index score. This Index score carries a weight of 45%. Then the percentage of marks obtained in your 10th will be calculated based on the aggregate marks of all subjects that appear in the marks sheet. The percentage scores are first adjusted by dividing each score by the highest percentage score obtained in the Board and then the adjusted score is multiplied by 30. Then the percentage of marks obtained in your 12th will be calculated based on the aggregate marks of all subjects that appear in the marks sheet. The percentage scores are first adjusted by dividing each score by the highest percentage score obtained in the Board and then the adjusted score is multiplied by 15. Considering your marks, you should be shortlisted for further rounds. And regarding your chances to other Institutions, we do not have your sectional cut marks and so it is tad tough to predict. Neverthless, you can use our CAT Path finder to check your options: https://bschool.careers360.com/pathfinder/cat