In left-right symmetric models with a general right-handed quark mixing matrix VR, CP-asymmetries of neutral B-mesons can deviate appreciably from the standard model prediction. By assuming a Gronau-Wakaizumi (GW) form of VR, we calculate asymmetries of B0 decays to two-body CP-eigenstates for various possible right-handed gauge boson mass MR. It is found that these CP-asymmetries show a sharp transition from the GW results to the standard model ones in the neighborhood of MR≃800 GeV .