Dual

If you have 10 backlogs then probably engineering is not a good choice for you. Also, most good Universities won't consider you unless you give them a "passed" transcript for all subjects and semesters. I'm talking about good universities. If you really have some good projects and high quality work experience you can give it a try though.

Some of the colleges offering dual degree programs in MBA and M.Sc are as follows:
1) BIT Mesra
2) NEST
3) IIT JAM
4) BIT Ranchi
5) NMIMS Mumbai
6) Anna University

Kindly follow this link:
https://www.shiksha.com/search/?q=Integrated+BBA+MBA&bc[]=30&bc[]=31&bc[]=75&bc[]=32&bc[]=101&qer=0|0|0|0|0|30,31,75,32,101|0|0|0|0|0|0|0|163|0|0&sa=^0^30,31,75,32,101^0^0^0^0^0^0^0^163^0^0^0&ts=13956966&rf=searchwidget&cty[]=163

Hi Jeel,
Yes, Symbiosis Institute of Health Sciences, Senapati Bapat Road, Pune offers MBA in Hospital and Health Care Management.
For more information on this, please follow the link:
https://www.shiksha.com/mba/course/mba-in-hospital-and-health-care-management-symbiosis-institute-of-health-sciences-senapati-bapat-road-pune-15933

Both the courses depend on the college but as an individual both the courses will help you to achieve a good career as well as helps in enhancing the management skills and as you are interested in starting your own business, this course will help you a lot.