ISIS claimed responsibility for three bombs targeting minibuses in Mazar-e-Sharif, while the perpetrators of a bombing at a Kabul mosque remain unknown.
A string of deadly bombings targeting minority communities has convulsed the country in the past two weeks.
The terrorist attack occurred in the predominantly Hazara Shia neighbourhood of Dasht-e-Barchi in western Kabul, an area that has witnessed many such attacks before.
If true, the shelling would represent the first such attack on a Central Asian state by the Afghan-based group.
ISIS has resurfaced as an alarming threat to Afghanistan's security, analysts say, despite assurances by the authorities that the group has been defeated in Afghanistan.
The obscure Abu Hasan al-Hashemi al-Qurashi is reportedly the older brother of slain ISIS leader Abu Bakr al-Baghdadi.
The reward also applies to information leading to the arrest or conviction of the plotters of the August 26 suicide bombing at the Kabul airport.
The extremist group is exploiting technological advances to find new ways to inflict harm, experts caution, calling for ongoing vigilance.
Sirajuddin Haqqani, a wanted terrorist, made his remarks just days after ISIS militants killed dozens of Afghan citizens in a suicide bombing at a mosque in Kandahar.
With its message of support for the Taliban, al-Qaeda has given an early signal that it will attempt to build on its historic ties with the group.