In order to be eligible for admission in Jai Hind College, Mumbai, a candidate must have passed 12th board from Maharashtra or it's Higher Secondary equivalent with at least 50% marks in the first attempt.
That being said, for general category, the cut off for BMS is around 91%.
For reserved category (SC/ST), it goes down to 74%.
So, with 60% marks, unless you are a reserved category student, chances of getting a seat are fairly low. Even if you are a reserved category student, you'll be able to get a seat only in the last rounds (provided there is some availability of seats).
Hope this helps. Good luck.