An improved latch incorporating adjustable backset and cylinder latch bolt assemblies, working in cooperation with a door handle, mounting rods and spindle. The backset latch includes novel configured inner and outer casing parts through which extend the mounting rods and spindle, and which sandwich therebetween an actuating plate and follower plate arrangement. The cylinder latch bolt further includes a novel subassembly including a bolt mounted in spring biasing fashion via a stem portion extending therefrom and interengaging the actuating plate to selectively retract the bolt into a cylinder shaped and interiorly open body.