CFA Scope

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.

A Financial Analyst is trained in financial analysis which involves a thorough understanding of the companys finances, investments, growth plans etc. Financial Analysts are trained in corporate finance, financial services and investment management.
CFA Program is a professional credential offered by CFA Institute to Investment and Financial professionals. To enroll in the CFA Program and register for your first Level I exam, you must have:
An international travel passport and one of the following:
(a)Undergraduate education: A Bachelor's (or equivalent) degree or be in the final year of your Bachelor's degree program (you must have completed your Bachelor's degree program in order to register for the Level II exam), or
(b)Work experience: Four years of professional work experience (does not have to be investment related), or
(c)A combination of professional work experience and education that totals at least four years (part-time positions do not qualify, and the four-year total must be accrued prior to enrollment).
CFAs have good opportunities in India to work with Consultancy Orgs, Corporate sector in Accoutning and Fianance, Finance and Leasing companies, BFSI companies ( banks, Fianncial Institutions , Insurance companies etc) PSUs, Mutual Funds, RBI etc . A

A financial analyst is trained in the financial analysis which involves a thorough understanding of the company's finances, investments, growth plans, etc. Financial analysts are trained in corporate finance, financial services and investment management.
Financial analysts have lots of job opportunities in the following areas:
(a) Corporate Finance-The tasks relate to conceptual and technical inputs in the areas of Indian Financial System, Financial Accounting, Management Accounting, Financial Management, Advanced Financial Management and International Financial Management.
(b) Investment Management-The job involves analysis with inputs from Economics, Quantitative techniques, Economic Legislation which is required by the Securities industry, Security evaluation and Investment Management.
(c) Financial Services-In this role, they undertake Project Planning, Venture Capital, Leasing, Hire Purchase, Factoring, New Issue Management, Credit Rating and other allied areas.
For more details, kindly refer: https://www.shiksha.com/careers/certified-financial-analyst-22