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Making Comparison Based on Average

The average s...

Question

The average score of two sections is 28. The average score of section A is 30, in which there are 25 students, If there are 20 students in section B then the average score of section B is

A

25.5

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B

27.5

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C

29

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D

33

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Solution

The correct option is A 25.5
Total number of students in section A and B = 25 + 20 = 45
Average score of both the sections = 28
$∴$ Total score of both the sections = 28 x 45 = 1260
Total score of section A = 25 x 30 = 750
Let the average score of section B = x
Then, total score of section B = 20x
Given, 20x + 750 = 1260
$\Rightarrow 20 x = 510$
$\Rightarrow x = 25.5$

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