Answer
$ 60.606\%$
Work Step by Step
Given PV=$\$ 99$
The interest ( the fee) is $\$ 10,$
The time must be in years
(t=2 months$=\displaystyle \frac{2}{12}=\frac{1}{6}$ year)
we need r:
$\mathrm{I}\mathrm{N}\mathrm{T}=\mathrm{P}\mathrm{V}(\mathrm{r}\mathrm{t})\qquad$/$\div(PV\cdot t)$
$ r=\displaystyle \frac{INT}{PV\cdot t}=\frac{10}{99\cdot\frac{1}{6}}\approx$0.606060606061
$ 60.606\%$