The schematic diagram of a steady state process is shown below. The fresh feed $($F$)$ to the reactor consists of $97$mol$\%$ reactant A and $3$mol$\%$ inert I. The stoichiometry of the reaction is $AC.$ A part of the reactor effluent is recycled. The molar flow rate of the recycle stream is $0\mathrm{.}4F.$ The product stream $P$ contains $55$mol$\%$ C$.$ Determine the percentage conversion of $A$ in the reactor based on A entering the reactor at point $1$ in the figure.