There are many such colleges. Some of them are:

JBIMS, Mumbai

NMIMS, Mumbai

SIBM Pune

IIFT, Delhi

IIFT, Kolkata

SP Jain

MDI Gurgaon

IMI New Delhi

All the best!

• FMS (You get admission through CAT exam only. It gives 85% weightage to CAT marks so aim for above 99.6 percentile in order to get admission. It is also known for its ROI because fees here is min about 20K for 2 years and avg. Placement last year was around 20.6 lakhs per annum)

• ISB Hyderabad which is one of the best B-school of India. You get admission here through GMAT only and min. 2 year work experience is required. You can get admission right now also after the whole procedure if you don't have work experience but you will be allowed to join their institute only after 2 year of relevant work experience.

• Then there are private colleges like Jamanlal Bajaj institute of Management studies, S. P. Jain, MDI Gurgaon who are also good in finance and enroll students in CAT and XAT marks.

• Other than this there are good colleges which are also good and conduct their own exams for enrolling students like Indian Institute of foreign trade with IIFT, Narsee Monjee with NMAT.
  

• Along with these there are more good colleges like IIT Bombay, IIT Delhi, IIT Madras, IIT Kharagpur, Master of finance and control - university of delhi, GIM Goa and TAPMI Manipal (Which has especial bloomberg lab for finance)