In a classroom consisting of boys and girls the average marks obtained by ihe boys is 90 If the aver...........

Quantitative Aptitude (MTS) Average

In a classroom consisting of boys and girls, the average marks obtained by ihe 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?

This questions was previously asked in

SSC MTS 18th July 2022 Shift-2

- Let's denote:

- \( B \) as the number of boys.

- \( G \) as the number of girls.

- \( M_g \) as the average marks scored by the girls.

- The average marks per boy is 90.

- The average marks for the whole class is 92.

- The ratio of boys to girls is 3:2, so for every 3 boys, there are 2 girls.

- Hence, the number of boys \( B = 3x \) and the number of girls \( G = 2x \).

- Total students = \( B + G = 5x \).

- Total marks for boys = 90B = 90(3x) = 270x.

- Total class marks = 92(5x) = 460x.

- Total marks for girls = 460x - 270x = 190x.

- Average marks of girls \( M_g = \frac{190x}{2x} = 95 \).

Option 2: 95 is the correct answer.

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