Pune

Although, transfers in the same university transfers do happen but it is not a very common scenario in India. Moreover, you need to get a transfer certificate from the college which at times very difficult to get, so I would suggest you talk to your college officials and if they agree to give you TC then talk to the college you want to get into once you get clearance from both the sides.I don't think you will face any problem in getting transferred.

The exact syllabus cannot be determined until after the paper, however you can get the general idea of the syllabus along:
• Macroeconomics
• Mathematics
• Micro
• Econometric
• Stats
• Probability
• Game theory

Dear Sneha Nair,
For international business, Indian Institute of Foreign Trade - Delhi and Kolkata stand at first. Then you can consider:
1. Pondicherry Central University.
2. Amity Global Business School, etc. are some other top schools for international business.
All the best.

The college has got good rating and reviews on google, so you may take admission in the same.

You may evaluate MIT Manual for lateral entry in B.Tech.

The placements are average but to know the exact scenario for faculty and placements, get in touch with the current students through social media or in person.