Answer:
Option C
Explanation:
Number of students enrolled in various streams:
IT → $\left(\frac{20}{100}\times3500\right)$ = 700
Arts → $\left(\frac{30}{100}\times3500\right)$ = 1050
Science → $\left(\frac{22}{100}\times3500\right)$ = 770
Commerce → $\left(\frac{12}{100}\times3500\right)$
= 420
Management → $\left(\frac{16}{100}\times3500\right)$
= 560
Number of girls enrolled in various streams :
IT → $\left(\frac{18}{100}\times1500\right)$ = 270
Arts → $\left(\frac{38}{100}\times1500\right)$ = 570
Science → $\left(\frac{11}{100}\times1500\right)$ = 165
Commerce → $\left(\frac{21}{100}\times1500\right)$
= 315
Management → $\left(\frac{12}{100}\times1500\right)$
=180
(Number of girls enrolled in Arts): (Number of boys enrolled in Science)
= 570 : (770 - 165) = 570 : 605
= $\frac{570}{605} = \frac{114}{121}$ = 114:121
