Total number of boys in Birla college and Sharda college = 210 × 2 = 420 Let, Number of girls in Birla college = x And, Number of girls in Sharda college = y ATQ x + y = 810 ... (i)
2
3
X+
2
5
y=420 ... (ii) On solving (i) & (ii) x = 360, y = 450 Number of boys in Birla college =
2
3
×360=240 (d) Boys in ‘X’ college = 2 × 320 – 240 = 400 Total no. of students in ‘X’ colleges =
125
100
×[360+240]=750 Number of girls in ‘X’ college = 750 – 400 = 350