She was born in the family of Muhammad Saleh Akbar Hydari and J. Rameshwar Rao in Hyderabad. Hydari made her on screen debut in the Malayalam film Prajapathi (2006) alongside veteran actor Mammootty. The film had her play the role of a devadasi and her performance in the film garnered positive reviews from critics. Hydari made her acting debut with the 2007 Tamil film Sringaram, in which she played the lead character, as a devadasi. The film itself was based on classical dance, being directed by Sharada Ramanathan and produced by Padmini Ravi, two noted bharatanatyam dancers. In 2011 Hydari appeared in the film Yeh Saali Zindagi, for which she won the screen award. In 2011 she also starred in the Bollywood film Rockstar. She has appeared in Airtel 3G advertisement in April 2011.
Hydari was born on 28 October into two royal lineages, that of Muhammad Saleh Akbar Hydari and J. Rameshwar Rao of erstwhile Raja of Wanaparthy family. She is the great granddaughter of Akbar Hydari and the grand niece of Muhammad Saleh Akbar Hydari, former Governor of Assam. Filmmaker Kiran Rao is her maternal first cousin. Her maternal grandparents are Raja J Rameshwar Rao, who headed the administration of Wanaparthi state during its day, and Shanta Rameshwar Rao, a much respected educationalist in the city of Hyderabad and the chairperson of publishing house Orient Blackswan. Her mother has Mangalorean Konkani roots. Aditi started learning Bharatanatyam at age six and became a disciple of acclaimed dancer Leela Samson. She did her schooling at Rishi Valley School, near Bangalore and graduated from Lady Shri Ram College, University of Delhi. In 2005 and 2009 it was reported that she was married to Satyadeep Mishra, a former Assistant Commissioner of Income Tax and Indian Revenue Service officer. While the actress had declined to comment on her marital status in a 2012 interview, in a 2013 interview she mentioned that they were separated.