BBA

Yes, one can easily get admission as they won't be asking much about it as a year gap is negligible.
All the best.

Following is the recommended list of top BBA in India:
(a) Delhi University
(b) GGSIPU
(c) Christ University Bangalore
(d) Symbiosis Centre for Management Studies, Pune,
(e) Faculty of Management, Banasthali University
(f) Department of Business Administration, SRM University
(g) Madras Christian College, Chennai
(h) Anil Surendra Modi School of Commerce (ASMSOC)
(i) Narsee Monjee Institute of Management Studies University
(j) Mount Carmel College, Bangalore
(k) St. Francis College for Women, Hyderabad

Both are good cities for pursuing graduation, many good universities are there in Mumbai and Bangalore. Christ University is known in Bangalore.

As you do not like maths it will be advisable to go for BBA+MBA as both B.Sc and BCA will have maths as compulsory subjects in their syllabus.

You can go for Bharatiya Vidya Bhavan, Shaheed Sukdev College and DSPSR.

BBA stands for Bachelor of Business Administration. It is a 3-year course. It includes marketing, statistics, etc. You need to score a minimum of 40 percent marks in HSC. You need to opt for English in HSC.

You have got low score in CAT no problem what is with XAT and CMAT. Try with those and fill the form and see whether you qualify for XISS.

You are eligible to seek admission in MA Economics after BBA, as some universities such as Delhi University, by appearing in their entrance examinations.

Lots of open universities run BBA courses by distance learning. You may evaluate joining IGNOU or Sikkim Manipal University, etc. for doing BBA by distance learning.

If you are planning education up to BBA only, then you may for BBA in Travel & Tourism to have career in niche field of Travel & Tourism. But if you are planning to do MBA, it will better to do generic BBA to have exposure of all Management functions and chose MBA specialisation based on you interested developed during graduation studies.