Vujić continued his post-graduate studies in finance, economics and philosophy at the University of Leipzig, where he received a Ph.D. in 1879.

Shortly after returning from his studies to Serbia, he joined the moderate wing of the People's Radical Party.

From 1879 to 1887 Vujić taught economics at his alma mater, alongside two other well-known professors, Konstantin Cukić and Čedomilj Mijatović.

As Minister of Finance, Vujić eliminated the monopoly of tobacco and salt and put a stop to the exploitation of the Serbian railway system, which until then had been in the hands of foreign companies.

Vujić's translation is a scholarly analysis of Kotruljević's work that places the four books into its proper historical context, making it an important contribution to our understanding of the origins of management and trade practices in the eastern shores of the Adriatic Sea during 15th century Ragusa.