Colleges in Pune

You must have mathematics as one of the subjects at (10+2) level or at graduate level examination.
5% relaxation to candidates of backward class categories and persons with disability belonging to Maharashtra state only. Marks - 50%
Admissions:
80% of the seats are filled through centralized admission process (CAP) conducted by DTE based on the rank obtained in MAH-MCA-CET.
Remaining 20% seats will be filled at institute level on the basis of marks obtained in 10+2.
Important Dates:
Mar 2018
Mar 24 , 2018 MAH MCA CET 2018 exam
Mar 24, 2018 MAH MCA CET 2018 Admit card download last date
Apr 2018
Apr 3 , 2018 MAH MCA CET 2018 result

Yes, MCA is available in Fergusson College. But taking admission here is very difficult as the cut-off is high as per your graduation marks.
You can try for direct admission in Fergusson or VIT College in Pune.
For more information You can contact on given details8446739069 or careeryoungindia1@gmail.com
Thank You
Piyush Mishra

What is your rank in BUMAT? According to the same you will get a seat in BVU Management College. You need to have around 800 rank for IMED-Pune for BBA. IMED-Pune is better than Singhad College. You can go for hostel outside the campus.

76% is the cut-off for civil engineering.

Hey Vaibhav,
http://moderncollegepune.edu.in/
Go to the link and apply for the BCA course.

Yes, but the course fee for BBA (2018-2019) is not same for all the BVP colleges.

As your score is a little good. You can go for MIT-Pune or Sinhgad College which is the best college in Pune for B.Tech in any branch. The placements are also better there as compared to other colleges.
All the best.