Public anger towards the family soared in 2013, when a jet carrying 217 foreign guests to a Gupta wedding landed at Waterkloof Air Force base, outside Pretoria.
The airport is a military facility normally used to receive heads of state.
WHAT HAPPENS NOW?
The Guptas complained voraciously when South Africa’s largest banks closed their accounts earlier this year.
The family lobbied unsuccessfully for Finance Minister Pravin Gordhan, who is at loggerheads with Zuma, to intervene.
But on Friday Gordhan disclosed in a court affidavit that the Gupta family and associated companies were implicated in “suspicious transactions” worth $480 million over four years.
On Monday the family denied reports that money had been removed from the rehabilitation fund of a mine they bought, saying the claim was “another example of groundless innuendo”.
They also vowed to respond this week to Gordhan’s affidavit.
Zuma last week blocked the release of a watchdog’s report into his relationship with the Guptas.
A court hearing into the case is due next month.