Some of the top colleges offering Integrated MBA programmes are as follows:

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• IIM Indore – Integrated Program in Management

• Institute of Management, Nirma University

• Xavier University Bhubaneswar

• NMIMS Mumbai

• SRM University of Technology & Science

• Lucknow Univeristy

• Ahmedabad University, Ahmedabad

• Jindal Global Business School

• Shaheed Sukhdev College of Business Studies, Delhi

• Lovely Professional University, Jalandhar

• Narsee Monjee Mumbai

• Christ University, Bangalore

• Symbiosis University, Pune

The fee structure and placement of each college is different. You may shortlist a few colleges and check their fee details. 

Hi Aspirant,
Integrated Mba is basically a 5 year course which includes both BBA and MBA.
As far as the fees is concerned,there is a large diversity in that.IPM,Indore offers the course at 25 lakhs whereas if you do it from BMS,Delhi and follow it up with an MBA from FMS,Delhi it will cost you less than 1 lakh.
Basically there are a large number of government as well as private colleges where you can do an integrated mba course and the fee shall vary accordingly.
Regarding the placements,let's speak on an average here.
In top B-Schools,it can be as high as 10-12 lpa whereas in average universities,it is around 5-6 lpa.Also,for other universities, it can go much lower.
Hope this helps.