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 (b) Number of girls in ‘Y’ collage =
450
9
×13=650 Number of boys in ‘Y’ collage =
80
100
×180=144 Total number of students in ‘Y’ collage = 650 + 144 = 794