Hi Utkarsh,

The cut off percentage depends on which combination of subjects you are choosing or rather in which subject you want to do B.A . So, I'll give you a summary about the cut off percentages of St.Xaviers College and Jai hind college. Hope it might help you to give an idea for what you are looking. This information O am providing you is based on previous years as for the recent year admission have not yet started. 

St.Xaviers College

There 40 courses provided by the college which you can see here: http://xaviers.edu/main/index.php/component/search/?searchword=Ba%20merit%20list&ordering=newest&searchphrase=any&areas[0]=categories

The cut offs rise every year by 2 to 3 percent. According to last 2years , it was

92.46% for general category                                   84%      for Cristian minority &                               82 to 86 for caste(depending on your caste)  91 for OBC.                                                                 Hope this gives you and idea. 

Jai Hind College

Here the cut offs are 90% for out house studemts and around 80-85 for in house students. To get information about the courses provided you can refer to this link :                              https://www.careers360.com/colleges/jai-hind-college-mumbai

Hope this answers your question.