Dear Mr. Singh, BBA is a bachelor's degree whose requirement for eligibility is +2. However MBA is a Master's degree whose requirement for eligibility is a Bachelor's degree. In a way for you to join MBA, you need to have a Bachelor's degree like BBA not essentially BBA though. So, you cannot pursue both BBA and MBA together at the same time. 

Hi Mr. Singh,

Yes, you can pursue BBA and MBA both one after the other. Once you complete 12th class you can apply for BBA from any college. Once the bachelors degree is completed you can pursue MBA.

However, if you are looking for colleges which offer BBA+MBA degree in the same college, like integrated course, you may find a couple of local colleges. Among the top IIMs, IIM Indore is special in this regard. It gives Bachelors and masters degree (BA+MBA) under the course IPM (Integrated Program in Management). Students undergo basic management courses like a BA cirriculum in first 3 years followed by the MBA course in the next two years.

Recently they have also introduced the quit option after 3years of BA. So you can do both Bachelors and Masters from same place and that too a top n otch institute. The intake is only 90 students and fee is 25L for 5 years.

Allthe best