Answer:
Option A
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 Management students already enrolled = 560.
New required number = $\left(560 + \left(\frac{20}{100}\times165\right)\right)$
= 560+33 = 593