"He had been admitted to a private hospital in the city for the past a few days and was discharged last night," the mission member said.
Vaswami died in the mission premises this morning, she said.
The mission was planning a big celebration on his 100th birthday next month, she added.
Born on August 2, 1918 in Pakistan's Hyderabad city in a Sindhi family, Dada Vaswani, as he was popularly known, was the head of the Pune-based Sadhu Vaswani Mission, a non-profit organisation involved in social work and charity.
The organisation runs educational institutions and hospitals in the city.
Prime Minister Narendra Modi had addressed the spiritual leader's 99th birthday celebrations last year through a video link. Modi had then said Vaswani's blessings will help in accomplishing goals for a new India.
Acclaimed as a humanitarian, philosopher, educator, orator and non-sectarian spiritual leader, Dada Vaswani had captivated the hearts of millions of people worldwide. He was also into promoting vegetarianism.
His regular discourses at the mission premises attracted people from different walks of life.
Vaswani was a brilliant student, but he later gave up a career in academics to follow in the footsteps of his illustrious uncle and guru, Sadhu T L Vaswani, who had set up the charity organisation.
His mortal remains have been kept at the mission to enable people to pay their last respects.
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