A metal salt solution forms a yellow precipitate with potassium chromate in acetic acid, a white precipitate with dilute sulfuric acid, but gives no precipitate with sodium chloride or iodide, it is :

For ${\mathrm{K}}_2{\mathrm{CrO}}_4$ in acetic, $\mathrm{Pb}$and $\mathrm{Ba}$ both produce yellow ppt and a white precipitate, respectively ${\mathrm{H}}_2{\mathrm{SO}}_4$. However, barium does not precipitate with sodium chloride or iodide, whereas lead salts do. This indicates that the barium salts in the supplied salt, when combined with sodium carbonate, produce a white precipitate of barium carbonate.

Hence, the correct option is C.