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The Consumer Prices Index (CPI) rose by 0.5% in the year to June 2016, compared with a 0.3% rise in the year to May.
The June rate is a little above the position seen for most of 2016, though it is still relatively low historically.
Rises in air fares, prices for motor fuels and a variety of recreational and cultural goods and services were the main contributors to the increase in the rate.
These upward pressures were partially offset by falls in the price of furniture and furnishings and accommodation services.
CPIH (not a National Statistic) rose by 0.8% in the year to June 2016, up from 0.7% in May.
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