Well there are many private colleges and universities in India which offer an excellent MBA program with good placement. All you need to do is to do some research and then select a college as per your requirements and future aspiration.
I did my MBA from IILM University, Gurugram which is also a private university but the kind of learning and exposure i got there was exceptional. With a legacy of 27 years and a network of 12000+ alumni there is no doubt in its credibility. Some of the salient features of IILM are:
Globally Benchmarked Curriculum
Course modules are inspired by Stanford Graduate School of Business, Wharton Business School and IIM-A.
Location
Campuses are centrally located and connectivity is not at all an issue.
Mentoring Program
Each student is assigned a mentor at the time of joining and that mentor acts as a trusted advisor and guide for that student for the next two years.