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Based on the assumption of two-quark structure for the light scalar mesons,within the framework of perturbative QCD approach, we investigate the $B_{q}\toD_{(s)}^{(*)} S(q=u,d,s)$ decays induced by $b\to u $ transition, where $S$denotes a light scalar meson. Under two different scenarios, we calculate thebranching ratios of 96 decay modes totally, which are in the range of $10^{-5}$to $10^{-8}$. The comparison between our predictions and the experimental datawill allow us to probe the inner structure of the scalar mesons. In thestandard model, since all decays can only occur through tree operators, thereare no $CP$ asymmetries. From our calculations, it has been shown that theannihilation type diagrams, especially the nonfactorizable annihilationdiagrams, play important roles in the decay amplitudes, especially for thesecolor-suppressed and pure annihilation type decay modes. We also find that thebranching ratios of color-allowed type decays are sensitive to the differentscenarios, so the measurements of them will be ideal places to differentiatethe different scenarios. It can be found that the ratios between $Br(B^0\toD^{(*)0}\sigma)$ and $Br(B^0\to D^{(*)0}f_0)$, and between $Br(B^+\toD^{(*)+}\sigma)$ and $Br(B^{+}\to D^{(*)+}f_0)$ can be used to determine themixing angle of $\sigma$ and $f_0$.

Two-body charmed B(Bs) decays involving a light scalar meson