hi varun,

Some college which offers bca in game design in India:

• School of Science Studies, CMR University
  Kalyan Nagar, Bangalore
• Seamedu School of Pro-Expressionism, Pune
  Balewadi, Pune
• Seamedu - School of Pro-Expressionism, Mumbai
  Kharghar, Mumbai
• Presidency University, Bangalore
  Yelahanaka, Bangalore
• Rayat Bahra University
  Mohali
• Seamedu - School of Pro-Expressionism, Bangalore
  Banasavadi, Bangalore
• Seamedu School of Pro-Exprerssionism, Mohali
  Mohali

I hope this answer will help, all the best for the future!!!