CA

Definitely, you can study Chartered Accountancy course after completion of BBA.
The minimum qualification required for admission in Chartered Accountancy course is 10+2.
The CA course comprises of CPT, IPCC, Articled Training and Final Course.
Candidates are exempted from CPT, subject to any one of the qualifications given below.
1. Graduation in commerce stream with 55% or more marks in aggregate.
or
2. Graduation in non-commerce stream with 60% or more marks in aggregate.
or
3. Intermediate level qualification of Company Secretary couse or Cost and Work Accounts course.
If you have completed BBA with more than 60% marks then you will be exempted from CPT and you can directly register for IPCC.
The exams of IPCC are conducted in May and November months every year.
After qualifying IPCC exams you will have to undergo 3-year Articled Training and after completion of that, you will become eligible for Final course exams.

There are 3 stages in CA Course.
1. CPT (Common Proficiency Test): You can register to this stage after clearing Class 10 exam. You can get an application form from any branch office of ICAI, which is mostly there in every city of India. You can also get the all forms of ICAI from The Institute of Chartered Accountants of India
2. After clearing CPT, one has to register for IPCC stage. Application forms are available on http://icai.org, the official site of ICAI.
3. After completing both groups of CA- IPCC stage, one can register for Final Stage of CA course.
4. After clearing IPCC, one has to get through Articleship with any CA. Here also you have to register yourself as an article assistant with any CA in India.