The Office for National Statistics said the amount spend in the food sector increased by 3.4% in April 2013 compared with the same month last year.
The same figure increased by 2.1% in April compared to May this year.
"Feedback from retailers suggested that promotions on summer ranges led to this increase in sales," the ONS added.
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Former Work and Pensions Secretary Iain Duncan Smith has David Cameron should remain prime minister even if Britain votes to leave the EU.
Tony Blair has said Leave campaigners are focusing on immigration "because they've lost comprehensively the debate on the economy".