Prakhar, 

If you want to have a great learning experience and pratical knowledge then JMI should be your choice. But if you want to have the experience of great infrastructure, modern labs amd classroom, cafetria etc then BIT MESRA is your choice. 

I m not saying BIT MESRA is not good in terms of academics it is a great college with awesome placement record with average package being 9.11 lacs/annum. Where as JMI AVG PACKAGE IS 5-6lacs/month

But Bit mesra is a bit expensive as compare to JMI. the fees for Bit mesra is around 3L/annum for jmi it is 60K/year .

The rest depends on you!!