(b) Given,
$v_{s} = \frac{v}{10}$
Apparent frequency
$v’ = v\left( \frac{v}{v - v_{s}} \right)$
Where
v=real frequency of source
v=velocity of sound
$v_{s}$=velocity of source
So,
$\frac{v^{'}}{v^{'}} = \frac{v}{v - \frac{v}{10}} = \frac{10}{9}$