P$4$: The following results were obtained for an enzyme$-$catalysed reaction in the absence and presence of an inhibitor. Determine the type of inhibition. If Ki for this system is $2\mathrm{.}9$ mmol. $L^{-1},$ calculate the inhibitor concentration present.

$\backslash$table$[[$Substrate concentration $(mmol{L}^{-1}),5\mathrm{.}0,6\mathrm{.}67,10\mathrm{.}0,20\mathrm{.}0,40\mathrm{.}0],[$Initial velocity $(mol{L}^{-1}mi{n}^{-1}),147,182,233,323,400],[$Initial velocity $(mmol{L}^{-1}mi{n}^{-1})$ in the presence of inhibitor,$100,122,156,222,278]]$