L.N. Mishra Institute, Patna is definitely better compared to CIMAGE, Patna. It offers good academics. The institute has an excellent faculty base. The faculty members are friendly and cooperative. You can contact them, regarding any problem.
L. N. Mishra also has a good placement record. According to the placement highlights students receive a median CTC of INR 3.2 LPA. TCS, Wipro, Infosys, etc. are some of the major recruiters that visit the campus drive regularly.
LNMI and CIMAGE are two reputed institutes and are currently functioning under Aryabhatta Knowledge University. I know people from both institutes and here are the reviews that I got from them.
LNMI:
CIMAGE:
Both institutes are reputed and are working under Aryabhatta Knowledge University. Go through the above-mentioned points and choose the institute that is better for you.