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Measurements are presented of the branching fractions of the decays$B_{s}^{0} \to D_{s}^{\mp} K^{\pm}$ and $B^{0} \to D_{s}^{-} K^{+}$ relative tothe decays $B_{s}^{0} \to D_{s}^{-} \pi^{+}$ and $B^{0} \to D^{-} \pi^{+}$,respectively. The data used correspond to an integrated luminosity of 3.0fb$^{-1}$ of proton-proton collisions. The ratios of branching fractions are$\dfrac{\mathcal{B}(B_{s}^{0} \to D_{s}^{\mp} K^{\pm})}{\mathcal{B}(B_{s}^{0}\to D_{s}^{-} \pi^{+})} = 0.0752 \pm 0.0015 \pm 0.0019$ and$\dfrac{\mathcal{B}(B^{0} \to D_{s}^{-} K^{+})}{\mathcal{B}(B^{0} \to D^{-}\pi^{+})} = 0.0129 \pm 0.0005 \pm 0.0008,$ where the uncertainties arestatistical and systematic, respectively.

Determination of the branching fractions of $B_{s}^{0} \to D_{s}^{\mp} K^{\pm}$ and $B^{0} \to D_{s}^{-} K^{+}$