The first major difference is that MSRIT will give you a degree in BE while MSRUAS gives you a degree in B Tech. (talking about engineering)

Secondly MSRIT is only all about engineering while MSRUAS has many other courses like hotel management, pharmacy etc along with engineering and all these have their own buildings and faculty.

Hello  Madhukar,

MS Ramaiah University of Applied Sciences, Bangalore is a UGC approved private university of India which was established in the year 2013. The University houses various faculties leading to award of degrees in undergraduate(B.Tech, B.Des., B.H.M., B.Pharm., Pharm. D.,BBA, B.Com, B.Sc and B.D.S.), postgraduate(M.Tech., M.Des., M.B.A., M.H.A., M.Pharm., M. Phil, M.S. (By Research), M.D.S., M.Com., M.Sc.) and doctoral programs.

Whereas, Ramaiah Institute of Technology is an autonomous private engineering college which was established in the year 1962 and is affiliated to  Visvesvaraya Technological University which is a Public State University in Karnataka and is established by the Government of Karnataka, India.

In short,  MS Ramaiah University of Applied Sciences, Bangalore is a private university which is established recently whereas the Ramaiah Institute of Technology has diversified itself with experience and a strong alumni network over the course of time. 

Best of Luck! I hope I have been able to clear your doubts.