He was responsible for the considerable expansion of the family's pharmaceutical company Alfred Benzon A/S.

Benzon's father had acquired the Svane Apotek in Copenhagen in 1849 and constructed a chemical factory at Kalvebod Beach in 1863.

Benzon matriculated from Haderslev Grammar School in 1873 and was then trained as a pharmacist in his father's pharmacy in Copenhagen until 1875.

He was also a student at Peder Severin Krøyer's drawing school and was several times represented with marine paintings at the Charlottenborg Spring Exhibitions.

[2] He was also a board member of a number of prominent companies, including De forenede Bryggerier (chairman), Den kgl.

He acted as a consultant on trade and industry matters to the Minister of Justice during the First World War (1914–1918).

Benzon was interested in rowing and sailing from an early age and later also ice skating and horse riding.

On 26 May 1888, Benzon married Johanna (Hanne) Bissen (4 July 1862 – 15 February 1930) in the Church of Our Lady in Copenhagen.