Two liquids $A$ and $B$ are mixed. The partial vapour pressures of $A$ and $B$ in pure state are $100$ and $200\ mm$ respectively. If they are mixed in $1 : 4$ mole ratio, then at equilibrium pressure of the mixture, assuming that mixture obeys Raoult's law, the mole fractions of $A$ and $B$ present in gaseous state. are: