Hello Shubham. Welcome to Careers360. The top colleges for BBA which have good placement record as well are as follows :-

University of Delhi

Guru Gobind Singh Indraprastha University

University of Mumbai

Symbiosis International University,Pune

NMIMS University,Pune

Bharati Vidyapeeth Deemed University,Pune

Christ University,Bangalore

The admission of majority of the above colleges are done through entrance exams except few such as mumbai university. For more information, you can refer the given link.

https://www.google.co.in/amp/s/bschool.careers360.com/articles/top-bba-colleges-in-india/amp

Hope this answer helps you. If you have any other query you can drop it in the comments section below. All the best.