Pune

PUMBA (University of Pune), Indira Institute of Management, Indira School of Business Studies, MIT Group of Institute except MITSOB (PGDM) Singhad Institutes and Balaji Institutes (PGDM).

Hello Dev,
DY Patil holds a very good reputation in Maharashtra due to strong alumni network, better placements, and very well designed curriculum, so it will be better for your future to choose DY Patil over Amity University.

For government colleges in Pune or its region you need to take MHCET exam, however if you want private one's then you can take admission through JEE Mains.

ILS law college and Symbiosis are the best amongst all the available options.

MIT Pune has two separate colleges. Kothrud branch and Loni branch. Your JEE main marks is nothing to do with MIT admissions. However for Kothrud branch you should write MHCET or you can opt for management quota. Rs 1.55 lakhs per annum fee is the fee.
For Loni branch, it's a deemed university. You just visit the college office with money and you get admissions. Both are best colleges.

Fees
Total Fees
INR 6.7 Lakh
Mess charges are INR 36,000/-
Refundable security deposit is INR 3,600/-

Here's the list of some colleges offering B.Sc in Pune :
https://engineering.shiksha.com/bsc-colleges-in-pune-categorypage-2-64-1-0-0-174-114-2-0-none-1-0