Hello Anjum,
If you are looking for a career in Finance, I would recommend IBS Mumbai, with respect to the placements, IBS Mumbai has a lot of companies coming in, offering roles in the field of finance.
Having said this, Pune is also not a bad option, Finance companies do come down, but comparatively less though. You really have to be in your A game to land a good finance company with the desired pay package.
Looking at it from the cost of living, I would say look at the big picture, yes Mumbai is an expensive place to stay, but think about your career in the long run.
Hope this helps.
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