Ranjit Gazmer is from a gold merchant family of Darjeeling, India.
Gazmer was a student of Amber Gurung at his Art Academy of Music in Darjeeling. His contemporaries were Gopal Yonzon, Karma Yonzon, Sharan Pradhan, Aruna Lama and Jitendra Bardewa, all of whom went on to be musicians. He was a part of a musical group called ‘Sangam Club’ and was also a drummer for ‘The Hillians’, the first-ever western band formed in Darjeeling. In 1966, he moved to Birgunj, Nepal with his friends, which included Anuradha Koirala (then Anuradha Gurung), managing an English-medium private school. In 1967, Gazmer moved to Kathmandu with his friends and became a studio musician at Radio Nepal. Later, he moved to Mumbai (then Bombay) to pursue his music career there with R.D. Burman.