While the headline consumer price index fell to 4 per cent in May, the Reserve Bank’s preferred underlying core measure ticked up from 3.4 to 3.6 per cent.

Underlying inflation allows economists to look beneath the daily noise of random price movements to see what the economy's broader inflationary pressures are looking like.

Inflation fell to 4 per cent in May. However, there are signs that underlying price pressures remain a problem for the economy.