Results. The high-resolution optical spectrum of HIP 96515 A was used to derive a mass ratio, M(2)/M(1), close to 0.9. The optical lightcurve of HIP 96515 A shows periodic variations with P(orbital) = 2.3456 days, revealing that HIP 96515 A is an eclipsing binary with preliminary orbital parameters of i = 89 degrees.0 +/- 0 degrees.2, and M(1) = 0.59 +/- 0.03 M(circle dot) and M(2) = 0.54 +/- 0.03 M(circle dot), for the primary and secondary, respectively, at an estimated distance of 42 +/- 3 pc. This is a new eclipsing binary with component masses below 0.6 M(circle dot). Multi- epoch observations of HIP 96515 A&B show that the system is a common proper-motion pair. The optical spectrum of HIP 96515 B is consistent with a pure helium atmosphere (DB) white dwarf. The comparison with evolutionary cooling sequence models provides T(eff, WD) = 19 126 +/- 195 K, log g(WD) = 8.08, M(WD)/M(circle dot) = 0.6, and a distance of similar to 46 pc. The estimated WD cooling age is similar to 100 Myr and the total age of the object (including the main-sequence phase) is similar to 400 Myr. Finally, if HIP 96515 A&B are coeval, and assuming a common age of similar to 400 Myr, the comparison of the masses of the eclipsing binary members with evolutionary tracks shows that they are underestimated by similar to 15% and 10%, for the primary and secondary, respectively.