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In a classroom consisting of boys and girls, the average marks obtained by the boys is 90. If the average of the whole class is 92, and the ratio of the number of boys to girls is 3:2, what is the average marks scored by the girls?

1. 97
2. 94
3. 96
4. 95

Correct answer: 95

Solution

The class average is a weighted average of boys' and girls' averages. Using the ratio 3:2, the total average equation gives the girls' average as 95. This is the only value that makes the combined average 92.

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