Question 58

In an examination, the average score of students in a class who passed is 69 and that of those who failed is 61. If the average score of all the students, who appeared in the examination is 66, then the percentage of students who passed is:

Solution

Let's assume the number of students who passed and failed the exam are P and F respectively.

69P+61F = 66(P+F)

69P+61F = 66P+66F

69P-66P = 66F-61F

3P = 5F

P : F = 5 : 3

Percentage of students who passed = $$\frac{5}{5+3}\times\ 100$$

= $$\frac{5}{8}\times\ 100$$

= 62.5%

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