Hi! there are many good colleges in Bangalore offering BBA degrees. You can check them in the following link-

https://bschool.careers360.com/colleges/list-of-bba-colleges-in-bangalore

Now, for the mentioned amount, you can go for colleges like Narsee Monjee Institute of Management Studies, Alliance School of Business, Dayananda Sagar University. From the above mentioned link, you can compare various colleges and their fees and determine the best one for you.

Hope this helps!