Question 22

In an examination, out of 480 students 85% of the girls and 70% of the boys passed. How many boys appeared in the examination if total pass percentage was 75%?

Solution

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Total number of students = 480

Percentage of total students passed

= 75 % of total student = 75×480/100=360student
Now, using the condition from the question,
Let the number of boys be x
Then, 70% of x + 85% of (480 - x) = 360
=> 70×x/100+85×(480−x)/100=360
=> 70x - 85x + 40800 = 36000
=> 40800 - 36000 = 85x - 70x
=> 4800 = 15x
=> x=4800/15=320
There are 320 boys who have appeared for the examination.

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