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Question: In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average...

In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class are 72, then what are the average marks of the girls

A

73

B

65

C

68

D

74

Answer

65

Explanation

Solution

Let the average marks of the girls students be x, then

72=70×75+30×x10072 = \frac{70 \times 75 + 30 \times x}{100} (Number of girls = 100 – 70 = 30)

i.e., 7200525030=x\frac{7200 - 5250}{30} = x, ∴ x = 65.