Hello aspirant,
To choose a mba college in india or abroad, you need first to list out your objectives regarding your career plan, budget, country where you want to stay,etc. and prioritise them. Once you do that, deciding whether you should do an MBA in USA (abroad) or India will be an easier task.There is a difference between the quality of education in premier institutes of India and reputed international institutes, but at the same time, it is costlier and more difficult to get into. Thus, you should weigh the pros and cons based on all the factors such as placements, cost, reputation etc. to make an informed decision.

All the best

Dear aspirant, you can do MBA from India as well as from abroad, it is upto you. As if you want to do it from India you need to clear exams like CAT, XAT MAT to get into good colleges in India which are at top ranks but if you want to pursue your education abroad you have to first clear an exam like IELTS,TOEFL or any other as it varies according to the country you want to shift in and first be eligible for that. Also as you are from BSc background will will get an extra 5% advantage in India for the exams like CAT to get into an IIM where you can choose your field accordingly if you get a seat.
Hope it helps.
All the best:)