$($b$)$ Triangular arbitrage is a trading strategy that takes advantage of pricing discrepancies among three currencies to make a profit. Mr$.$ Paul W an investment of $$100,000$ is interested in triangular arbitrage. The RHB bank is quoting rates $($as given below$)$ for Euro, Australian dollar and US dollar;

$\backslash$table$[[$Currency$,],[$Bank buy Australian dollars for,$$0\mathrm{.}61$