Mr Shah appeared before detectives at the Kilimani CID offices and left almost an hour later.
It is not clear if he recorded a statement. He was in the company of his lawyers.
A spokesman Alfred Ng’ang’a said Mr Shah was there to honour police summons in regard to the footage that appeared in local media.
Mr Shah was seen by the Kilimani CID boss George Ojuka who said they are investigating various crimes.
He left before another staff of the supermarket only identified as Maina was also summoned and questioned.
“There are complaints and we are trying to get answers on the issue,” said Ojuka.
Other sources said a number of journalists who aired the clips are also targeted for grilling and have so far been summoned.
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