We investigate the dynamical process of optically trapped X$^{1}$$Sigma$$^{+}$ (v = 0) state $^{85}$Rb$^{133}$Cs molecules distributing in J = 1 and J = 3 rotational states. The considered molecules, formed from short-range photoassociation of mixed cold atoms, are subsequently confined in a crossed optical dipole trap. Based on a phenomenological rate equation, we provide a detailed study of the dynamics of $^{85}$Rb$^{133}$Cs molecules during the loading and holding processes. The inelastic collisions of $^{85}$Rb$^{133}$Cs molecules in the X$^{1}$$Sigma$$^{+}$ (v = 0, J = 1 and J = 3) states with ultracold $^{85}$Rb (or $^{133}$Cs) atoms are measured to be 1.0 (2)$times$10$^{-10}$ cm$^{3}$s$^{-1}$ (1.2 (3)$ times$ 10$^{-10}$ cm$^{3}$s$^{-1}$). Our work provides a simple and generic procedure for studying the dynamical process of trapped cold molecules in the singlet ground states.
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