There are 70 boys and 30 girls in a class. The average score of boys is 75. The average score of 100 students is 72. The average score of girls is .

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Solution

The correct option is B 65
Let the average score of the girls be x.

Given that the average score of boys = 75
Sum of the scores secured by the boys $= 70 \times 75$
$= 5250$

Average score of the class = 72
Sum of scores secured by the class $= 72 \times 100$ = 7200

Thus, the sum of scores secured by girls = 7200 – 5250 = 1950

Number of girls = 30

Average score secured by girls $= \frac{1950}{30} = 65$

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