ZnS$-$Ore contains: $77\mathrm{.}76\%$ ZnS; $8\mathrm{.}88\%$ MnCO$3$; $2\mathrm{.}30\%$ H$2$O; $11\mathrm{.}06\%$ SiO$2.$ Calculate the Zn$-$ content $($wt$.\%)$ and Mn$-$content $($wt$\%)$ before and after dead roasting $($calculation can be made for $100$ kg of charge$).($Zn: $65,$ Mn: $55,$ S: $32,0$:$16,$ C: $12,$ H:$1,$ Si: $28$ kg$/$kmol