Question

the ratio of boys to girls in a school is 2 : 3 . find the respective percentages of boys and girls in the school . if there are 600 students in the school . how many girls are there. please explain it with steps .

Answer 1

Let the no. of boys be 2a
No. of girls = 3a

According to question
2a+3a = 600
5a = 600
a= 120

No. of boys = 240
No. of girls = 360

% of boys = 240 * 100 / 600
= 40%

% of girls = 360 * 100 / 600
= 60%

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Answer 2

Let 2:3 be 2x and 3x which means
boys=3x and girls = 2x.
Now according to the question
3x + 2x = 600
5x = 600
x = 600÷5
x = 120
Now
No. of boys= 3 × 120 = 360
No. of girls = 2 × 120 = 240
Percentage of girls = 100÷ 600×240
= 40%