We study implications of a recent observation of non-leptonic Bc+→D0K+ decay and a bound on Bc+→D0π+ transition, on CP-violating asymmetries in Bc decays. In the U-spin symmetry limit, we derive a relation between the CP-asymmetries in the Bc+→D0K+ and Bc+→D0π+ channels and the corresponding branching ratios. We also derive several relations between non-leptonic Bc decays into the final states with D mesons in the flavor SU(3)F limit. We point out that a combined study of SU(3)F amplitudes in these decays can be used to constrain the angle γ of the Cabibbo–Kobayashi–Maskawa (CKM) matrix.