Discussion

What is the ratio of the number of boys to the number of girls in the college?

Answer: B

Correct answer: 27:23

Take the streams one at a time. Arts has \(2000 - 900 - 350 = 750\) students.

Science (900). 30% are girls, so girls \(= 270\) and boys \(= 630\).

Commerce (350). The ratio 3:4 makes 7 parts of 50, so boys \(= 150\) and girls \(= 200\).

Arts (750). 40% are boys, so boys \(= 300\) and girls \(= 450\).

\[\text{Boys} = 630 + 150 + 300 = 1080, \qquad \text{Girls} = 270 + 200 + 450 = 920\]

\[1080 : 920 = 27 : 23\]

The two totals add to 2000, which is the check that no stream has been missed.

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