Assume that you convert USD $20,000$ into British pounds $($GBP$)$ and immediately afterwards you convert them back into USD. The bank quoted you a bid price of $$\frac{1\mathrm{.}40}{G}BP$ and an ask price of $$\frac{1\mathrm{.}55}{?}$ GBP$.$ Please estimate the dollar amount you lost in this round$-$trip transaction.

$3,500\mathrm{.}00$

$3,000\mathrm{.}00$

$2,142\mathrm{.}86$

$1,935\mathrm{.}48$