Pusztai first started working as an officer of the Hungarian State Railways, where he made public service drawings and posters.
Pusztai's clear, understandable and well-composed drawing style made him one of the most significant Hungarian artists of the genre.
His longest-running comic strip series was Jucika (1957–1970), featuring a young, independent woman, frequently in risqué situations.
Originally a little-known comic primarily restricted to 1960s Hungarian popular culture, Pusztai's comic Jucika gained an international cult following during the late 2010s after the series sparked renewed interest on numerous online imageboards and Twitter.
The comic's online popularity inspired the establishment of a booru in November 2019 to archive fanmade images of the title character.