The Consumer Prices Index (CPI) measure of inflation was 1.5% in the year to May, down from 1.8% the previous month.
CPI inflation has now been at or below its 2% target for six months.
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Tory divisions over a controversial benefit reform could be exposed in a Labour vote in the House of Commons on Wednesday.
Should no deal be negotiated, Dover, the UK's gateway to Europe, would be one of the places to feel the effects of this most.
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