Indore

Pune is education hub. So, go for Pune.

Go for the Shiksha official Website and know about the Colleges you are eligible for:
https://www.shiksha.com

Hi, placements of PIMR, Indore for MBA are good. The following companies/recruiters who visited the campus are:-
Airtel | Cipla | Coca-Cola | DE Shaw | Fedex Express | Glaxo Smithkline | HCL | HDFC Bank | ICICI | Idea Cellular Services | ITC | MAERSK | Nestle | Ranbaxy | Reckitt Benckiser | Reliance Communication | Reliance Retail | Shoppers Stop | Snapdeal | Standard Chartered bank | TCS | Times of India | Woodland.
Regards.

Hello,
Here, I suggest you shiksha college predictor, please visit: https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwiomMOV8ILcAhXFOI8KHdVpCDwQFjAAegQIAhAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H.

You have good score so have a good chance of getting IMS.

Good morning dear,
Really sorry to say but no college will allow you for admission without having written any of the entrance test.
It is the basic requirement for admission in MBA, after graduation.
Colleges may skip interview rounds but entrance exams must have to be cleared.
Thanks and all the best.

Since you have scored 71% in commerce you can join any of these colleges. They are good, at same level but if you want to choose then go for IMIRC.