A tire/rim assembly, the tire comprising: a pair of bead cores; a carcass layer having a toroidal shape laid between the pair of bead cores; a bead filler extending from at least one of the bead cores in a tire radial direction (trd); a rubber chafer which comes into contact with a rim flange, the carcass layer including a carcass body portion laid between the pair of bead cores and carcass folded-back portions turned back outward in a tread width direction around the pair of bead cores, wherein the carcass folded-back portion includes a carcass outer end which is an outer end thereof in the tire radial direction, the bead filler includes a bead filler outer end which is an outer end thereof in the tire radial direction, the rubber chafer includes a rubber chafer outer end which is an outer end thereof in the tire radial direction, the rim flange includes a rim flange ridge at the outermost position in the tire radial direction, the bead filler outer end and the carcass outer end are positioned to the inside of the rim flange ridge in the tire radial direction, the rubber chafer outer end is positioned to the outside of the rim flange ridge in the tire radial direction, a soft rubber member is provided between the carcass outer end and the rubber chafer, characterised in that: the soft rubber member has a hardness lower than those of the bead filler and the rubber chafer, in that an outer end of the soft rubber member in the tire radial direction is positioned to the inside of the rim flange ridge in the tire radial direction, and in that an inner end of the soft rubber member in the tire radial direction is positioned to the outside, in the tire radial direction, of the bead filler outer end in the tire radial direction. a pair of bead cores; a carcass layer having a toroidal shape laid between the pair of bead cores; a bead filler extending from at least one of the bead cores in a tire radial direction (trd); a rubber chafer which comes into contact with a rim flange, the carcass layer including a carcass body portion laid between the pair of bead cores and carcass folded-back portions turned back outward in a tread width direction around the pair of bead cores, wherein the carcass folded-back portion includes a carcass outer end which is an outer end thereof in the tire radial direction, the bead filler includes a bead filler outer end which is an outer end thereof in the tire radial direction, the rubber chafer includes a rubber chafer outer end which is an outer end thereof in the tire radial direction, the rim flange includes a rim flange ridge at the outermost position in the tire radial direction, the bead filler outer end and the carcass outer end are positioned to the inside of the rim flange ridge in the tire radial direction, the rubber chafer outer end is positioned to the outside of the rim flange ridge in the tire radial direction, a soft rubber member is provided between the carcass outer end and the rubber chafer, characterised in that: the soft rubber member has a hardness lower than those of the bead filler and the rubber chafer, in that an outer end of the soft rubber member in the tire radial direction is positioned to the inside of the rim flange ridge in the tire radial direction, and in that an inner end of the soft rubber member in the tire radial direction is positioned to the outside, in the tire radial direction, of the bead filler outer end in the tire radial direction. the soft rubber member has a hardness lower than those of the bead filler and the rubber chafer, in that an outer end of the soft rubber member in the tire radial direction is positioned to the inside of the rim flange ridge in the tire radial direction, and in that an inner end of the soft rubber member in the tire radial direction is positioned to the outside, in the tire radial direction, of the bead filler outer end in the tire radial direction.