What are my chances to convert IMI New Delhi with CAT 92.3 percentile and Xth 79.8%, 12th 86% with a year gap graduation 60.27%?

Considering the criteria and the recent trends, I deem your profile to fare quite well provided that you perform well throughout the selection process.

Once you have been shortlisted you have to face 3 rounds during the selection process

1. Written ability test
2. Psychometric test
3. Interview+Extempore 

Your mentioned score combined with your great performance during these rounds will increase your chances of admission.