Colleges in Mumbai

You can get into any of the institutes mentioned below:
1. Whistling Woods International, Mumbai
2. Zee Institute Of Media
3. Annapurana School of Filmmaking

Minimum 50% marks in Graduation and valid CAT or MHCET score with 99 Percentile required to qualify for What PI round for general category.
https://www.shiksha.com/mba/course/masters-of-management-studies-jamnalal-bajaj-institute-of-management-studies-churchgate-mumbai-1807

You need to appear for NMAT and have valid decent score in HSC examination to join 5 year integrated program viz. B.Tech+ MBA or B.Pharm+ MBA offered by Mukesh Patels NMIMS.

Hi Aditi,
It's a decent B-school for pursuing Finance, provided you don't have better options available (JBIMS, NMIMS, SP Jain, Somaiya, Sydenham, etc). The college officials haven't posted anything specifically about the placement figures for Finance. So, you need to directly contact them for further information:
http://ibsindia.org/final-placements/
Here's the link. I hope it helps.

Yes, for BA LLB, the best colleges are:
National law university, New Delhi
Faculty for Law, Jamia Millia Islamia, New Delhi
NLU,Bhopal
Gandhinagar national law university
NLSIU, Bangalore
Faculty of law, Galgotias University,
MS Ramaiah college of law, Bangalore
Amity law school, Noida
Symbiosis law school, Noida
Lloyd law college, Noida
For government universities, you need to write CLAT, AILET and other law entrance exams but you can opt direct admission in private universities.

Ranking wise Welingkar is above Dalmia anytime. This calls for better placements. Don't have much knowledge about Dalmia though.

If you are interested to pursue Bachelor's degree, then SNDT and Nirmala Niketan are the best options.