Majumdar is one of the most popular and celebrated modern sarod players. He also received vocal and tabla training under Amaresh Chowdhury and Anil Palit. Later he trained under Bahadur Khan for 18 years until the latter died.
He then continued training under Ajay Sinha Roy and Ali Akbar Khan.
He has played duets with Shujaat Khan. The rendering of raag Charukeshi is especially notable.
He directed music for a Bengali movie called Tollylights, directed by Arjun Chakraborty. He is also directing music for another Bengali movie Hanankaal due to be released in 2010.