A distillation column handling a binary mixture of $A$ and $B$ is operating at total reflux. It has two ideal stages including the reboiler. The mole fraction of the more volatile component in the residue $(x_W)$ is $0.1$. The average relative volatality $\alpha_{AB}$ is $4$. The mole fraction of $A$ in the distilate $(x_D)$ is _________ (round off to $2$ decimal places).