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Hi,
Yes, you may surely pursue MBA after BA, please remember in order to pursue full time MBA or PGDM program you need to be GRADUATE in ANY FIELD with atleast 50% marks in graduation, plus you need to take various management entrance test like CAT, MAT, XAT, SNAP, etc.
However, as per your query, I would suggest you to work for 2-3 years and then opt for MBA, the advantage of this step would be that after working for few years you would know which specialization to opt in MBA that can further enhance your career prospects, however as per your profile pursuing MBA in finance would be the best option for you.
This work experience of yours would give you competitive advantage over other candidates with no work experience during MBA admission.
Finally if you work for some years then you may yourself manage the expenses for your further studies.
Please note that, the final selection in MBA or PGDM program is made on the basis of:
1. Education background of the students.
2. Score in various management entrance test.
3. Performance in group discussions and personal interview.
4. Work experience if any.
Please browse through the link mentioned below to get detailed information regarding rankings of various B-schools in India.
Link: https://www.shiksha.com/top-mba-colleges-in-india-rankingpage-2-2-0-0-0
Feel free to raise more questions. Appreciate by giving it thumbs up or marking as best.
All the Best.