A pneumatic radial tires having a tread of an asymmetrical profile are disclosed. A circumferential location at which a tread takes its maximum outer diameter is deviated from a tire equator outwardly opposite to a side on which the tire is to be mounted to a vehicle, by a distance L equal to a range from 0.05 to 0.30 times as long as a width W of the tread. A ratio of d.sub.2 /d.sub.1 is set at a range from 0.98 to 1.00 in which d.sub.1 and d.sub.2 are diameters of shoulders of the tread on the mounted tire outer side and mounted tire inner side, respectively. The tires are free from uneven wear such as shoulder drop uneven wear, river wear and one side wear.
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