Decays of the form $B^{0}{(s)}\rightarrow J/\psi K{{\rm S}}^{0} h^+ h^{\left(\prime\right) -}h^{(\prime)} = K, \pi$) are searched for in proton-proton collision data corresponding to an integrated luminosity of $1.0 , {\rm fb}^{-1}B^{0}{s}\rightarrow J/\psi K{{\rm S}}^{0} K^{\pm} \pi^{\mp}$ decay is reported, with significance in excess of 10 standard deviations. The decay is also observed for the first time. The branching fraction of $B^{0}\rightarrow J/\psi K_{{\rm S}}^{0} \pi^{+} \pi^{-}$ is determined, to significantly better precision than previous measurements, using as a normalisation channel. Branching fractions and upper limits of the other modes are determined relative to that of the $B^{0}\rightarrow J/\psi K_{{\rm S}}^{0} \pi^{+} \pi^{-}$ decay.

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