There are a few good colleges in Delhi and Pune so starting with pune,  I would say :
Symbiosis International University

Savitribai Phule Pune University

Bharati Vidyapeeth University

Brihan Maharastra College of Commerce

Symbiosis Institute of Computer Studies & Research

Tilak Maharashtra University

Ness Wadia College of commerce

Flame University, Pune

Marathwada Mitra Mandal College of commerce

Symbiosis Law School, Pune

For Delhi,  I can say :

Du colleges and Ipu colleges.

Hi dear, 

Hope you are doing well!

Now let's go through your question.

Here's the top BBA colleges in Pune:

• SCMS Pune - Symbiosis Centre for Management Studies
• SICSR - Symbiosis Institute of Computer Studies and Research
• Ness Wadia College of Commerce
• International School of Business and Media
• St. Mira's College For Girls
• MIT Arts, Commerce and Science College
• Marathwada Mitra Mandal's College of Commerce (MMCC)
• Indira College of Commerce and Science

Thank You & All the best!

Hello aspirant,

Please visit the link down below and you will find out colleges ghat offers bba in pune. And then click on it you can find more information about that particular college. 

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

Go through the link to know about delhi colleges which offers you bba

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