Mukherjee was born in Prayagraj (formerly Allahabad), United Provinces, into a Bengali Brahmin family.
[2][4] For the next decade, Indrani became a regular feature in Hindi films as a character actor in notable films such as Mere Lal (the famous song "Payal Ki Jhankar Raste Raste" was picturised on her), Grahasti, Heer Raanjha (1970), Parvarish (1977) and Dharam Veer (1977), the Dharmendra starrer, in which she played the pivotal role of Rajmata (Queen Mother).
[5] She also acted in a few Marathi and Bhojpuri films including Apradh and Laagi Nahi Chhute Ram (1963).
They live in London and are the parents of two children, a son, Vikramaditya Chhapwale and a daughter, Avantika.
Indrani's younger daughter Moyna Bannerjee is married to Rahul Banerjee, a Bengali Brahmin gentleman of her own caste and similar family background.