Pune

https://www.shiksha.com/mba/ranking/top-mba-colleges-in-Pune/2-2-0-174-0
Here are the top colleges for MBA based in Pune. Hope this will help you.

I can just let you know about the eligibility for colleges commonly and that is-
The basic eligibility for admission to any of the B.Com. Programs is mentioned below. Candidates must pass in Higher Secondary School examination from a recognised educational boardThey should have Maths and English as core subjectsMinimum 50% marks are required at 10+2 level. Although, candidates from Science and Arts stream are also eligible to apply, those with Commerce stream are preferred. There is no work experience required for the course. However, students with work experience can also apply.

College has three hostels- Baya Karve, David and YashLakshmi. YashLakshmi is expensive but provides better facilities than the other two. In Baya Karve three girls can share a room so some might feel congested while others don't.

No, it isn't better than D Y Patil Navi, Mumbai and the package is yet to be received as the engineering first batch is not out yet.

https://www.shiksha.com/humanities-social-sciences/ranking/top-arts-colleges-in-Pune/95-2-0-174-0
Here are some top colleges of Pune.

Banasthali is good in many ways as compared to other universities. Rest, it is your personal decision as you can make various comparisons between both the institutes.