What is the ratio of the number of female lecturers in Physics to the number of male lecturers in Mathematics?

Answer: Option A

Number of lecturers in various subjects are:
$$\begin{array}{rl}& \text{Chemistry → }\frac{13}{100}\times 1600=208\\ & \text{Education → }\frac{18}{100}\times 1600=288\\ & \text{Hindi → }\frac{12}{100}\times 1600=192\\ & \text{Mathematics → }\frac{21}{100}\times 1600=336\\ & \text{Physics → }\frac{14}{100}\times 1600=224\\ & \text{Zoology → }\frac{22}{100}\times 1600=352\end{array}$$

Subject	Number of Males	Number of Females
Chemistry	208 × $$\frac{1}{8}$$ = 26	208 - 26 = 182
Education	288 × $$\frac{5}{8}$$ = 180	288 - 180 = 108
Hindi	192 × $$\frac{1}{4}$$ = 48	192 - 48 = 144
Mathematics	336 × $$\frac{3}{7}$$ = 144	336 - 144 = 192
Physics	224 × $$\frac{9}{14}$$ = 144	224 - 144 = 80
Zoology	352 × $$\frac{7}{16}$$ = 154	352 - 154 = 198

Required ratio
= 80 : 144
= 5 : 9