A tyre and rim assembly comprising: a rim having a pair of flanges (Rb); and a pneumatic tyre being mounted onto the rim, the pneumatic tyre comprising a pair of bead portions, a carcass extending between the pair of bead portions, and a rim guard being provided on at least one of the pair of bead portions, wherein the pair of bead portions comprises a pair of bead cores, the carcass comprises a main portion extending between the pair of bead cores and a pair of turn-up portions turned up around the pair of bead cores from axially inside to outside of the tyre, in a cross-sectional view of the assembly under a standard state in which the pneumatic tyre is inflated to a standard pressure but loaded with no tyre load, the rim guard protrudes outwardly in a tyre axial direction from a sidewall reference outer surface of the tyre so as to cover over one of the pair of flanges (Rb) located on the at least one of the bead portions, the rim guard defines an axially outermost end thereof, a radially outermost end thereof, and an imaginary rim guard straight line that passes the axially outermost end and the radially outermost end, the axially outermost end of the rim guard is located inward in the tyre radial direction with respect to a radially outer end of one of the pair of turn-up portions located on a side of the at least one of the bead portions, and a maximum gap in the tyre radial direction between the one of the pair of flanges (Rb) and the rim guard is equal to or less than 2.0 mm, characterized in that an angle (θ) of the imaginary rim guard straight line with respect to a tyre radial direction is equal to or less than 40 degrees, and the radially outermost end of the rim guard is located outward in the tyre radial direction with respect to the radially outer end of one of the turn-up portions. a rim having a pair of flanges (Rb); and a pneumatic tyre being mounted onto the rim, the pneumatic tyre comprising a pair of bead portions, a carcass extending between the pair of bead portions, and a rim guard being provided on at least one of the pair of bead portions, wherein the pair of bead portions comprises a pair of bead cores, the carcass comprises a main portion extending between the pair of bead cores and a pair of turn-up portions turned up around the pair of bead cores from axially inside to outside of the tyre, in a cross-sectional view of the assembly under a standard state in which the pneumatic tyre is inflated to a standard pressure but loaded with no tyre load, the rim guard protrudes outwardly in a tyre axial direction from a sidewall reference outer surface of the tyre so as to cover over one of the pair of flanges (Rb) located on the at least one of the bead portions, the rim guard defines an axially outermost end thereof, a radially outermost end thereof, and an imaginary rim guard straight line that passes the axially outermost end and the radially outermost end, the axially outermost end of the rim guard is located inward in the tyre radial direction with respect to a radially outer end of one of the pair of turn-up portions located on a side of the at least one of the bead portions, and a maximum gap in the tyre radial direction between the one of the pair of flanges (Rb) and the rim guard is equal to or less than 2.0 mm, characterized in that an angle (θ) of the imaginary rim guard straight line with respect to a tyre radial direction is equal to or less than 40 degrees, and the radially outermost end of the rim guard is located outward in the tyre radial direction with respect to the radially outer end of one of the turn-up portions.