Certain type of tea leaves containing $38\mathrm{.}5\%$ tannin and $23\mathrm{.}9\%$ water$-$soluble non$-$tannin

material, on dry basis, is extracted with water. The residue removed from the extraction

tank contains $62\%$ water, $2\mathrm{.}8\%$ tannin and $0\mathrm{.}9\%$ water soluble non$-$tannin material. If

the original tea leaves had $4\%$ water when put into the tank,

a$.$ determine the fraction of the original tannin removed.

b$.$ determine the composition of the resulting extract solution on dry basis.