Bungey was born in
Gnowangerup, Western Australia on 30 August 1934. He was educated at
Wesley College, Perth, and went on to complete a
Bachelor of Arts at the
University of Western Australia, majoring in economics. Bungey served in the
Citizen Military Forces from 1951 to 1958. After graduating from university he worked for the
Prime Minister's Department in Perth and Canberra. He later returned to Western Australia to work on the family property at
Borden. Prior to his election to parliament, Bungey was active in the
Farmers' Union of Western Australia and served as vice-president of its wool section. He was also a member of the Australian Wool Industry Conference and a delegate to the Australian Wool and Meat Producers' Federation. According to
The Beverley Times he was "a vigorous advocate of wool marketing reform and played a prominent part in updating the Farmers' Union wool marketing policy". ==Politics==