Players can buy a house by paying one of the five Estate Agents. The house will cost 1000 coins, and it will be located in Taverley (near the lodestone) by default.
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You need to see an Estate Agent to purchase your first house. They can be found in the following locations (courtesy the RS Wiki
: - East of Varrock Palace - Falador, north of the White Knights' Castle - Seers' Village, north-east of the bank - East Ardougne, south-west of the marketplace - Prifddinas, south-east corner of the Ithell district