Yes definitely after B.A. You can pursue MBA degree. MBA is such a post graduation degree which accepts all the candidates who have done their graduation (3/4 years degree) in any stream from any recognised and authorized university/college. And most of the MBA exams and colleges also have a criteria that you need to score more than 50% in graduation.

So if you satisfy this criteria then you will be eligible to give most of the MBA exams and will also be eligible to fill up the application of most of the college's after securing a minimum percentile in one of the MBA exam's like CAT, XAT, MAT, CMAT, SNAP, CET, NMAT etc.

Feel free to ask if you have any more queries. All the best!!