It all depends on the institute from where you want to pursue your BBA and MBA. There are few good colleges providing BBA integrated with MBA including IIM Indore and Symbiosis University etc.

The top B Schools do not have a BBA course and they offer just the masters courses including PGDM and MBA. You can pursue your BBA from an institute and then start preparing for the CAT examination. Doing MBA from a top B School will give you chances to get the best jobs in the industry with high salaries.

All the best!