Six people have been seriously injured, according to a spokesman for the North West Ambulance Service (NWAS) in Manchester.
Police say the incident is not terror-related.
"Shortly before 3.30pm today (Monday 16 April 2018), police were called to reports that a Kia Venga had been involved in a collision with two cars and a number of pedestrians at a car park in a supermarket in Harpurhey. Five pedestrians have been taken to hospital for treatment. An 80-year-old man has been arrested on suspicion of causing serious injury by dangerous driving. Inquiries into the full circumstances around this incident are ongoing," Greater Manchester Police said in a statement.
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