India

You can check out the link below for the most affordable college for management courses in India
https://www.shiksha.com/mba/ranking/top-mba-colleges-in-india/2-2-0-0-0

You can choose in allied science courses like:
Cardiac Perfusion
Anaesthesia
Renal Dialysis
Operation Theatre Technology
Optometry
Graduation Courses
Biotechnology
Chemistry
Physics
Information Technology
Computer Science

For the best colleges with normal fees and best placements, you can go for FMS. Minimal fees INR 20,960 and
Average Salary (Annual): 25.5 Lakh and Maximum Salary (Annual): 66.0 Lacs.
https://www.shiksha.com/mba/course/master-in-business-administration-faculty-of-management-studies-university-of-delhi-north-campus-111548

A majority of colleges offering twinning programme offer such facility in engineering and management courses. There is no popular university which offers B.Com twinning programme.

Hi Sarthak,
Coming from a biotechnology background will help since MBA programs are open to students from all discipline so they look for diversity but holding a Bachelor degree in any discipline to pursue your MBA is mandatory so it won't make a difference unless you have very high grades and an extraordinary profile. Remember that most MBA programs including the top ranked ones require work experience, GMAT scores and solid career goals/MBA essays based on which admissions will be given.