compare the two branches (IITK and IITB)
It is complicated to ideally compare the two branches (IITK and IITB) as they both have benefits and also negative approaches in delivering the course. The difference may occur in terms of location, academic flexibility, and other factors.
Both schools of economics are profitable, but it depends on which criteria to adopt in comparison of the two. According to institutes and overall ranking, IITB is considered better than IITK, but if you genuinely got a real focus on studying economics, IITK may be the best. IITK economics is an established department of economics in Kanpur. It offers a wide range of courses to select, that is, seven open electives, six fundamental science optional subjects, and four departmental selections. IITB accommodates only two electives.
Placement is also a significant point to consider. Job/internship details for IITB economics not yet established, but for IITK Kanpur, there are immense job opportunities after completing your Masters/Bachelors in economics. Most of the graduates get placements in analytic fields (e.g., Capital One), consultancy (e.g., McKinsey & Company), and in financial institutions e.g., banks. Also, there is a vast network between students and alumni of Kanpur. That provides a gold mine for self-empowerment.