He was raised in the city, graduated from the University of Belgrade Faculty of Dentistry, and afterward operated his own dental practice.
[7] The Zajedno coalition fell apart at the republic level and in Belgrade in late 1997, but it held together in Kragujevac for the full term.
In July 1999, Rajković helped lead the Kragujevac assembly in passing a motion calling for the resignation of Yugoslavian president Slobodan Milošević.
[8] In December of the same year, he introduced a motion calling for Milošević to be held accountable for war crimes committed in the territory of the former Socialist Federal Republic of Yugoslavia.
The DOS formed a coalition government with the Socialist People's Party of Montenegro in the Yugoslavian parliament, and Rajković served as a supporter of the administration.
He was also re-elected to the Kragujevac city assembly in the concurrent 2000 Serbian local elections, in which the DOS won a somewhat unexpected majority victory over both the SPS and Stevanović's alliance.
[15] The entire country was by this time counted as a single electoral district, and from 2000 to 2011 mandates in Serbian parliamentary elections were distributed to candidates on successful lists at the discretion of the sponsoring parties or coalitions, irrespective of numerical order.
Rajković was a close ally of DS leader and Serbian president Zoran Đinđić, who was assassinated in March 2003.
[18][19] The DS and the SPO once again united for the 2008 Serbian local elections in Kragujevac under the banner of the For a European Serbia coalition.