Pune

If you want to pursue MBA then do it from any college which has good faculty. The course fee is almost 82k per year in MIT whereas you will get other ordinary colleges in and around 15k in Mumbai. Yes, it is cheaper as compared to Symbiosis. Symbiosis charges around 250000 per year. BBA is absolutely not necessary for MBA.

Symbiosis, PUMBA, Indira, Balaji (not shri balaji), Wadia college and Indsearch are the best colleges in Pune. It matters whether you want a premium institute or an institute with quality education.

1. Symbiosis University
2. PUMBA
3. MITSOT
4. MITSOM
5. Singhad

Although, well known in Maharashtra, the college is yet to establish itself as a brand nationally. Having said that, it is a place that will open a lot of opportunities and might close a few (don't expect Apple, Bain or Google for campus placements).
Let us consider the following parameters:
1. Job placements: I have seen this to be the biggest concern for incoming students. Average annual salary has been around 4 lacs, which is neither disappointing nor heartening.

Private colleges will be a good option if you don't want to compromise with your educational experience.