Hey,
There are various private colleges in Bhopal offering various courses at both undergraduate and postgraduate level. Placements depend upon how the placement cell of your college is and most importantly,it depends on your CV.Since you have not mentioned any specific course so I am giving you the list of some of the private colleges offering different courses:
Lakshmi Narain College of Technology
IES college of Technology
Sagar Institute of Science and Technology
Patel College of Science and Technology
Oriental Institute of Science and Technology
Bhopal School of Social Sciences
Career College
Bhoj Mahavidhayalaya
Indira Priyadarshani College
Chankya Mahavidyalaya
Hope this helps.
Best of luck.