$5-$ An investor buys a share of stock for $$40$ at time t $=0,$ buys another share of the same stock for $$50$ at t $=1,$ and sells both shares for $$60$ each at t $=2.$ The stock paid a dividend of $$1$ per share at t $=1$ and at t $=2.$ The periodic time$-$weighted rate of return on the investment is closest to:

A$.24\mathrm{.}7\%.$

B$.49\mathrm{.}0\%.$

C$.28\mathrm{.}1\%.$