The dollar$-$pound exchange rate is initially $$2\mathrm{.}00/1$ and moves to $$1\mathrm{.}80/1$ one year later. Over the same period the US price index rises from $100$ to $120,$ while the UK price index moves from $100$ to $110.$ Which of the following statements is true concerning the real exchange rate of the pound against the dollar $($to one decimal place$)?$

Select one:

A$.$ It will have depreciated to $82\mathrm{.}5$

B$.$ It will have appreciated to $82\mathrm{.}5$

C$.$ It will have depreciated to $98\mathrm{.}2$

D$.$ It will have appreciated to $98\mathrm{.}2$