She is married to former prime minister of the United Kingdom Rishi Sunak and the daughter of N. R. Narayana Murthy, a founder of the Indian multinational IT company Infosys, and Sudha Murty.

[4][5] In 2022, her personal wealth became the topic of British media discussion in the context of her claim of non-domiciled status, an arrangement seen as benefiting the "super rich."

[12] In the 1990s,[13] Murty attended Baldwin Girls' High School, Bangalore, and in 1998 studied economics and French at Claremont McKenna College in California.

[19] As of 2022[update], Murthy was a director at Digme Fitness, and also Soroco, the digital transformation company that her brother Rohan Murty co-founded.

[27][28] In April 2022, Murty's wealth became the focus of British media discussion[17][18] that noted her non-domiciled resident status in the United Kingdom, which entitled her to pay no tax on her income outside Britain, subject to an annual payment of £30,000.

[6][8][18] Later the same month, Murty announced that she would give up her non-domiciled status and pay UK taxes on her worldwide income voluntarily.