Hey Om, the best colleges for BBA are as follows 

i)Shaheed Sukhdev College of business studies, DELHI

Entrance Exam- DU JAT 

Registration from 5-6-2019 to 22-6-2019

FEE- 8000/-

ii)St. Xavier's College, MUMBAI

Entrance Exam- Conducted by the college 

Registration begins 1 may,19 to 31 may,19.

FEE- 29953/-

iii)SCMS, PUNE

Entrance Exam- SET 

Registration 24 Jan - 21 April

FEE- 280000/- per annum

These are the best colleges to do BBA from, there are more colleges such as BESC, Kolkata and more but you should try for the best.All the Best.