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1. Students of three different classes appeared in common examination. Pass average of 10 students of first class was 70%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?

A. 74%

B. 75%

C. 69%

D. 72%

Solution:

\begin{aligned} Sum of pass student first, second and third class, \\ = (70 % of 10) + (60 % of 15) + (80 % of 25) \\ = 7 + 9 + 20 = 36 \\ Total students appeared, \\ = 10 + 15 + 25 = 50 \\ Pass average, \\ = 36 \times \frac{100}{50} = 72 % \end{aligned}

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