What type of profile do freshers in new schools: IIMs, FMS, XLRI, MDI, IIFT, and NMIMS have? Do all of them have 80+/90+ in 10th and 12th?

I can speak for XLRI since I have many friends at the institute. A score of 80-/90+ is not necessarily the only criteria based on which students are admitted to the institute. 

The admission commission looks for a number of activities and accomplishments. These include your performance in sports, music, scholarships leadership positions held previously, college festivals, participation in competitions such as debates and quizzes during your schooling. Your position at the national or state level in sports, if any. Surely the admission process is not limited to these only.

Academics are also considered but that can be said as one of the factors and not the deciding criterion. Even if you do not possess such scores in your 10th or 12th, do not agonize. XLRI will heartily welcome you for proving your worth in other domains.