Having friends at XLRI, I can only suggest you keep in mind these few facts if you're passionate about getting into any high-quality B-School.
The status that XLRI or any great B-School carries would not be put at risk by admitting candidates who do not have a quality academic background. You have to at least maintain a minimum of the criteria that these institutes demand.
Because of the reputation factor, FMS/XLRI/SPJIMR, etc. would not put their reputation at stake by admitting students with a poor academic background. Therefore, instead of focusing on that, it will be wise to focus and perform well in other exams like - MICAT, NMAT, SNAP, IIFT, CAT, XAT so that you can get a call from any one of the top 20 B-Schools of India.
Despite a 50% score in your graduation, you still think about getting into a reputed institute like XLRI. This shows how much faith you carry in yourself.