What is the respective ratio of the number of females in Production department to the number of females in the Marketing department?

Answer: Option C

Number of females in Production : Number of females in Marketing
$$\begin{array}{rl}& =\left(900\times \frac{23}{100}\right):\left(450\times \frac{44}{100}\right)\\ & =207:198\\ & =23:22\end{array}$$