An insulated container has 60 g of ice at `-10^(@)C`. 10 g steam at `100^(@)C`, sourced from a boiler, is mixed to the ice inside the container. When thermal equilibrium was attained, the entire content of the container was liquid water at `0^(@)C`. Calculate the percentage of steam (in terms of mass) that was condensed before it was fed to the container of ice. Specific heat and latent heat values are
`S_("ice") = 0.5 cal g^(-1) .^(@)C^(-1)`, `S_("water") = 1.0 cal g^(-1) .^(@)C^(-1)`
`L_("fusion") = 80 cal g^(-1)`, `L_("vaporization") = 540 cal g^(-1)`