Both IIM K and NITIE are renowned institutes and offer the same placement opportunities. 

• If you take a look from an ROI point of view then NITIE has an upper hand. The fee structure at NITIE is 12.53 lakhs and is half or less than that from IIM K. 
• NITIE is known for its Operations branch. The majority of SCM Head, VP Operations, Head logistics in industries are a part of the alumni of NITIE. 
• If you are not interested in Operations then opt for IIM K. It has been ranked above NITIE and if the IIM tag is what that you desire the go for it. 

Your decision may be influenced by the distance of these institutions from your hometown, financial background, preference for a particular specialization, and many such factors. Since it is an important decision do not hastily jump to conclusions. Make a wise choice that would benefit you in the future.