The median sale price for a house in Auckland rose 12 per cent last month from a year earlier as both sales volumes and new listings fell, according to the city's largest realtor.

The median price rose to $NZ798,000 ($A717,400) from $NZ711,000 ($A639,187) in March 2015 and was up 8.1 per cent from February, Barfoot & Thompson said. It is just $2,000 shy of the record price set in December. The firm had 1,341 sales last month, down 16 per cent from a…