You can get some information from the name itself, BA which is Arts aligned and Bsc which is aligned towards Science. In BSc Economics you will study mathematics and statistics at advanced level. Whereas, in BA Economics, you will study the subjects of mathematics and statistics at basic and medium level.
Colleges for Bsc Economics are:
St. Stephen's College, New Delhi
Indian School of Business & Finance
Presidency College, Kolkata
St. Xavier's College, Kolkata
Indian Institute of Management and Commerce
Colleges for BA Econimics are:
Lady Shree Ram College for Woman, New Delhi
Loyola College, Chennai
St. Xavier's College, Mumbai
Christ University, Bangalore
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