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
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NDIM New Delhi
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JIMS Rohini
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BML Munjal University
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ITM Navi Mumbai
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Universal Business School Mumbai
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PSG Institute of Management Coimbatore
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IMI Kolkata
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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.
Good Luck