Measurement of the branching ratios for the decays of $D_s^{+}$ to $\eta {\pi }^{+},$ ${\eta }^{\prime }{\pi }^{+},$ $\eta {\rho }^{+},$ and ${\eta }^{\prime }{\rho }^{+}$

Using a data sample with an integrated luminosity of $3.9{\mathrm{fb}}^{\mathrm{-}1}$ collected in $e^{+}{e}^{-}$ annihilation with the CLEO-II detector at the Cornell Electron Storage Ring, we have measured the branching ratios for the decay modes $D_s^{+}\to (\eta ,{\eta }^{\prime }){\pi }^{+}$ and $D_s^{+}\to (\eta ,{\eta }^{\prime }){\rho }^{+}$ relative to $D_s^{+}\to \phi {\pi }^{+}.$ These decay modes are among the most common hadronic decays of the $D_s^{+},$ and can be related by factorization to the semileptonic decays $D_s^{+}\to (\eta ,{\eta }^{\prime }){\mathcal{l}}^{+}{\nu }_l.$ The results obtained are compared with previous CLEO results and with the branching ratios measured for the related semileptonic decays. We also report results on the Cabibbo-suppressed decays of the $D^{+}$ to the same final states.