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Question : 1 of 40

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The average of the test scores of a class of ‘m’ students is 70 and that of ‘n’ students is 91. When the scores of both the classes are combined, the average is 80. What is n/m?

11/10
13/10
10/13
10/11

Solution:

Average of test score of class m student = 70

Total score = 70m

Average of class n student = 91

Total score = 91n

Average of the combined class = (m + n) = 80

Total score = (m + n) 80

According to the statement,

70m + 91n = 80 (m + n)

70m + 91n = 80m + 80n

91n - 80n = 80m - 70m

11n = 10m

\frac{n}{m}=\frac{10}{11}

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