With the deal, Tata Group and Malaysia's AirAsia Berhad would have 49 per cent stake each in the no-frills airline - which only this month announced a top-deck reshuffle that would see Amar Abrol taking over as CEO from Mittu Chandilya effective April 1.
AirAsia India, which began operations in June 2014, is now a three way joint venture. Telestra Tradeplace holds nearly 10 per cent stake in the airline.
Ramadorai, who is chairman of AirAsia India, and Venkataramanan would acquire 0.5 per cent and 1.5 per cent shareholding, respectively.
In December last year, Arun Bhatia had expressed unhappiness over the state of affairs at the budget carrier.
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On Tata Group hiking stake and directors buying shares, AirAsia Group CEO Tony Fernandes said it was great to see that they are so confident about AirAsia India's future.
In a release today, Tata Sons said it would raise its stake in the airline to 49 per cent from 41.06 per cent by acquiring 7.94 per cent equity stake from Telestra.
The deal is expected to be completed next month, subject to relevant corporate approvals and processes, the release added.
In this regard, an agreement was inked on March 14 by Tata Sons with Air Asia (India) Ltd, Telestra Tradeplace Pvt Ltd, Ramadorai and Venkataramanan.
"Great to see Tata and board members so confident on the future of Airasia India. I'm thrilled," Fernandes said in a tweet.
In an apparent reference to concerns being expressed over ownership and control at the airline, Fernandes also said, "not that it was ever an issue but kinda of ends this silly talk driven by one reporter on foreign control"
AirAsia India has a fleet of six aircraft, covering 12 routes and carrying over 1.8 million passengers.