The effect of the variation electron-to-hole effective mass ratio on energy spectra, magnetizations and densities of states of two- and three-particles magnetoexciton complexes in InAs/GaAs quantum rings are theoretically investigated by using a simple and unified method. Our results reveal that this ratio together with the ring?s dimensions are determining factors that make evident or apparent the manifestation of Aharonov?Bohm (AB) oscillations in exciton complexes spectra under magnetic fields. We show that energy spectra of the exciton complexes in a quantum ring with large radius contain overlapping subbands belonging to different relative rotational states and with closely spaced sublevels within them, corresponding to different centre-of-mass angular momenta. We find that for the heavy-hole exciton complexes, the sublevels distribution inside the subbands has clearly pronounced lower thresholds, whose positions exhibit AB oscillation in the presence of the external magnetic field. Conversely, for the light-hole complexes the sublevels? distributions are almost homogeneous and the overlap of subbands is so strong that their thresholds become completely unseen. We show that in this case the AB oscillations can be detected only by accurate analysing of the evolution of the peaks positions in curves of the density of states.