Chemistry Question from JEE Main 2026 · 24 January, Shift 2

Two liquids A and B form an ideal solution at temperature $T \, \text{K}$. At $T \, \text{K}$, the vapour pressures of pure A and pure B are $55 \, \text{kPa}$ and $15 \, \text{kPa}$ respectively. What is the mole fraction of A in solution of A and B in equilibrium with a vapour in which the mole fraction of A is $0.8$?