With your CAT and XAT percentile you may not get a call from LBSIM Delhi as they require a minimum of 80 percentile in both the exams. But you can still get some decent colleges like
NDIM New Delhi
JIMS Rohini
BML Munjal University
ITM Navi Mumbai
Universal Business School Mumbai
PSG Institute of Management Coimbatore
IMI Kolkata
Globsyn Business School Kolkata and others.
These are few good colleges offering an average compensation package of 5-6 lakhs and having good ROI. These colleges accept percentiles in the range 50 to 60 in CAT.