Hey Apurva
For banking it is not necessary to be a Bachelors of Commerce (BCom) or Bachelors of Business Administration(BBA) graduate, as after graduation the entrance exams would decide your selection much more. But to be precise to have a good background in Finance and Banking related field you may pursue Bachelors of Commerce BCom, this will give a better knowledge of Finance and Commerce industry which is more close to Banking sector. For further doubts, feel free to ask.
All the best
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