An analysis of B 0 → DK Ã0 decays is presented, where D represents an admixture of D 0 andD 0 mesons reconstructed in four separate final states:The data sample corresponds to 3.0 fb −1 of proton-proton collision, collected by the LHCb experiment. Measurements of several observables are performed, including CP asymmetries. The most precise determination is presented of r B ðDK Ã0 Þ, the magnitude of the ratio of the amplitudes of the decay B 0 → DK þ π − with a b → u or a b → c transition, in a Kπ mass region of AE50 MeV=c 2 around the K Ã ð892Þ mass and for an absolute value of the cosine of the K Ã0 helicity angle larger than 0.4.