The We Found Love hitmaker took a break from filming her new video for You Da One to mess around on the old set of the BBC2 show.
The 23-year-old is said to have had the crew in hysterics as she started doing her best impressions of the programme's famous business investors.
The video shoot took place in Stoke Newington in London - and crew members even put together chairs in the same style as seen on the TV series.
A source told British newspaper The Sun: 'Rihanna was happy to play along. She was prompted to say things like, 'I'm Out' and, 'I'll offer you 20 per cent of the business.''