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Question

# From a school 90 boys and 30 girls appeared for a public examination. The mean mark of boys is found to be 45% whereas the mean mark of girls is 70%. What is the average marks % of the school?

A

61.50%

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B

51.25%

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C

40.50%

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D

51.52%

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Solution

## The correct option is B 51.25% Number of boys in the school = 90 Mean marks of boys =45% Total marks of 90 boys =90×45=4050 Number of girls in the school = 30 Mean marks of girls =70% ∴ Total marks of 30 girls =30×70=2100 Total marks secured by 90 boys and 30 girls = 4050 + 2100 = 6150 Number of boys and girls who have appeared for exam from the school = 90 + 30 = 120 ∴ Average marks % of school =6150120=51.25%

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