Business Management Studies

Both courses have nothing to do with BBA. BBA is basically a course designed to equip students with the basics of management. As such, BBA graduates are not products that are immediately employable. A Masters, i.e. an MBA is desired to give any value as such. CFA are degrees that are completely independent of any graduate degree as such, in this case BBA. If you are a BBA. I would suggest you to take up a job at a bank and then pursue your CFA. Ideal would be a job in corporate finance (mergers, deal advisory) in consulting but your chances of getting through such firms with a BBA are close to 0 to 10% in India. Second option is to kick start an MBA and pursue your CFA side by side. If you want to further your career in any of the fields above (except finance Management, for which CFA is recommended), go for CA. Chartered Financial Analyst.
Topics Involved on an overall basis:
Equity
Alternate Investments
Economics (small portions at every level)
Quantitative Analysis (small but technical portions at all levels)
Financial Reporting and Analysis (includes US Gaap & IFRS reporting and analysis, does not need you to know the accounting as in CA)
Derivatives
Portfolio Management
Corporate Finance
Fixed Income (debts)
Professional Ethics (the Do's and don'ts, as a professional cum member of the Institute)
So, if you want to enter hardcore finance sector such as equity research, debt research, IB, MF etc. CFA would be the right choice. Having said the above, please refer some of my previous answers related to CA and CFA .
I would say, do CFA if you are completing BBA.

CFA focuses on Investment Management and covers topics in Finance like Corporate Finance, Ethics, Equity Investments, and Derivatives, Fixed Income while preparing you for careers in Investment Banking, Research, and Portfolio Management. CFA is a simple 3 year course of three levels. Level 1, Level 2 and Level 3.
All the levels are a course of 1 year each.
CFA is organized by The CFA Institute (American Based Institute) globally recognised.
CFA focuses on ethics, accounting, corporate finance, equity investments, fixed income and portfolio management.
To clear CFA, you need Level 1: 42%, level 2: 46% and for level 3: 54%. Only those who complete three graduate-level examinations, four years of work experience, and annual membership renewal (including an ethics and code of professional conduct attestation) are permitted to use the CFA designation. Complementary codes and standards (such as the Global Investment Performance Standards and Asset Manager Code) help enhance this professional distinction.