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total students = x
girls = 0.45x
boys = 0.55x -----(1)

Let y, is the total number of boys & girls who went abroad.
Then, the number of boys & girls who didn't go abroad, n = x-y
=> Based on given information
|x-y -y| = 120 => x-2y = 120 or 2y-x = 120 -----(2)

girls who went abroad = 0.25y
boys who went abroad = 0.75y ------(3)

Also, boys who did not go abroad = 0.25(x-y) -----(4)
girls who did not go abroad = 0.75(x-y)

boys = boys who went abroad + boys who did not go abroad
Using (1),(3) & (4),

0.55x = 0.75y + 0.25(x-y)
0.3x = 0.5y
3x = 5y
y = (3/5)x -----(3)

From(2),
2y -x = 120
Substituting (3) in (2)

6x/5 - x = 120

x/5 = 120
x= 600
Therefore the total number of students in school is 600.
Hence D is the correct answer choice.
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