"You were are & will always be a legend! Thank you for all the love always - will miss you so much uncle - until we meet again RIP uncle Rajan," she wrote.
Amitabh Bachchan too took to Twitter to thank his fans, who offered their condolences to the loss in the family.
Late Rajan Nanda is survived by a wife and two children, Nikhil and Natasha Nanda and their family.
Sweta's husband Nikhil Nanda is the Managing Director of Escorts Limited.
Escorts Group is an Indian engineering company that operates in the sectors of agri-machinery, construction and material handling equipment, and railway equipment.
Nanda joined Escorts in 1965 at the age of 23, and in 1994, he took over as the Chairman of Escorts Group, when his father and the founder Chairman, H P Nanda, stepped down after 50 year-long innings.
Rajan Nanda was an active member of several apex trade and industry bodies. As a member of the CII National Council, he had served as Chairman of its Agriculture Committee.
Escorts is a leading manufacturer of tractors and construction equipment in the country. It also caters to railways with its various products.