Purma C. Bannerjee (born 1897, date of death unknown) was an Indian sprinter. Bannerjee would compete at the 1920 Summer Olympics, representing India in two sprinting events. During the opening ceremony, he would be designated as the first flag bearer for the nation.
Bannerjee would first compete in the heats of the men's 100 metres. There, he would place last in his round and would not advance to the quarterfinals of the event. He would then compete in the heats of the men's 400 metres a few days later. He would again place last in his round and would not advance to the quarterfinals of the event.