In carius method of estimation of sulphur, it was observed that the percentage of sulphur present in an organic compound is 50%. Ratio between BaSO₄ precipitated to mass of organic compound taken is

$\%\mathrm{S}=\frac{32}{233}\times \frac{\mathrm{mass} \mathrm{of} {\mathrm{BaSO}}_4 \mathrm{precipitated}}{\mathrm{mass} \mathrm{of} \mathrm{organic} \mathrm{compound} \mathrm{taken}}\times 100$

$\frac{50\times 233}{32\times 100}=\frac{\mathrm{mass} \mathrm{of} {\mathrm{BaSO}}_4 \mathrm{precipitated}}{\mathrm{mass} \mathrm{of} \mathrm{organic} \mathrm{compound} \mathrm{taken}}$

$\frac{233}{64}=\frac{\mathrm{mass} \mathrm{of} {\mathrm{BaSO}}_4 \mathrm{precipitated}}{\mathrm{mass} \mathrm{of} \mathrm{organic} \mathrm{compound} \mathrm{taken}}$