A survey amongst tourists in Britain has put 'shopping in Harrods' as one of the top holiday activities.
Research found that almost one in five chose the activity, when asked to select their top three favourites.
Visitors put the attraction ahead of going to the theatre and visiting Harry Potter locations.
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The letter was signed by the CBI, British Chambers of Commerce, the EEF, the Institute of Directors and the Federation of Small Businesses.
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The minister's intervention will come a week after Trump decertified the landmark agreement claiming it was not in the US national interest.