Mumbai

Hello Saurabh,
Comparison between two private institutions is fraught with danger. Sometimes, different aspects will be measured differently. However, as per my perception MIT, Pune is better.

Hello Ajinkya,
I understand and appreciate your interest in pursuing BE from Mumbai or Pune. To assist you in choosing the colleges to pursue the same, kindly refer to the link below for more information on the colleges:
https://goo.gl/3A6UYm
I hope this answers your question. If you have any further questions, kindly revert.

Getting a good B-school at 80 percentile is tough for MMS. You can alternatively try PGDM with CAT/CMAT/GMAT scores to secure your admission.
With CET, you may get Indira Global-Pune and Kohinoor B-school.

Hi Yukti,
Government interior designing colleges in Mumbai : Shreemati Nathibai Damodar Thackersey Women's University
There is no government college in Pune for pursuing interior designing.

The best colleges in Mumbai to pursue MMS courses are :-
1. Jamnalal Bajaj Institute of Management Studies
2. Welingker
3. N L Dalmia
4. Sydenham
5. K J Somaiya
6. SIESCOMS

There are many institutes. YCMOU offers B.Sc. and Diploma in industrial safety. Similarly, institutes like NIFE also offer various courses. Choose the institute based on your expectation, their reputation and their past placement record.

You can refer the link below and check individual institutes that whether they conduct entrance test or not :
https://www.shiksha.com/it-software/colleges/bca-colleges-mumbai-all

Follow the link below and filter colleges according to location and branch :
https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-maharashtra/44-2-114-0-0

Here is the list of best English speaking institutes in Mumbai :
British Council
Standford English Academy
BM English Speaking Institute

Since your score in MAT is good, you can get BIMM Pune, Chirst Bangalore, XIME Bangalore, Jaipuria Lucknow. With MHCET scores, you can get Thakur, Rizvi, Indira Pune.