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 that of girls is 3 : 2, what is the average marks scored by the girls?

95

Ratio of number of boys to that of girls = 3 : 2

Let number of boys = 3 & number of girls = 2

Average marks of girls = A

According to question ,

3 × 90 + 2 × A = ( 3 + 2 ) × 92

270 + 2A = 460

2A = 460 - 270 = 190

A = 95

So , Average marks scored by girls = 95