Hey Aditya.

There are various colleges that offer the five year integrated course of BBA LLB in India. The top few colleges offering the course are-

National Law Universities like NLU Jodhpur, CLNU Patna, NLU Odisha etc offering the course of BBA LLB through CLAT.

Symbiosis Law School, Pune

 IP University, Delhi 

BVP Pune 

Christ University, Bangalore

KIIT Law School, Bhubaneshwar

Best of luck