The incident occurred in Rajiv Nagar colony of Vikarabad town yesterday.
The accused, Anjaiah, was taken into custody today after the daughter of the deceased Lakshamma lodged a complaint, DSP P Narasimhaulu said.
"The accused allegedly hit his mother on her head with a firewood and she succumbed to injuries while undergoing treatment at a hospital in Hyderabad last night," he told PTI.
Investigation Officer G Ravi said that the accused, a private employee, had asked his mother for an amount to buy a bike. But, when she declined to pay, he allegedly hit her with the firewood.