Both courses are good and are in demand. The opportunities and faster growth are not so much within the type of degree, as it is within the individual who has the degree. Opportunities are always there. It is up to you to take advantage of them through creative and critical thinking, assertiveness, perseverance, commitment, positive attitude, and the ability to think through long-term benefits. Best is subjective term. What is best for me can not be best for you or vice-versa. Identify your actual interests, aptitudes, strengths, and weaknesses and match it with the choices you have to shortlist the apt one for you. You can do biotechnology related courses from:

University of Hyderabad-School of Life Sciences, University of Mumbai-Institute of Chemical Technology, National Dairy Research Institute 
Rajiv Gandhi Center for Biotechnology 
Lovely Professional University 
Delhi Technological University-Department of Biotechnology, Indian Institute of Technology-Department of Biochemical Engineering & Biotechnology, Delhi University
Banaras Hindu University
Jawaharlal Nehru University 
Aligarh Muslim University of Mumbai
VIT, BITS.

Hi Sumeet,

Both  the Biochemistry & Biotechnology are good as well.As,Biotechnology is emerging field and every year gaining double-digit growth rate.Biotechnology is a heavy subject which requires a lot of professional skills, analytical thinking, perseverance, patience.Also, Biotechnology has a lot of good scope in future & in terms of salary as well.

Feel free to ask if you have any more queries.

Thank You