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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%?

A) 370
B) 340
C) 320
D) 360

Correct Answer:



C) 320

Description for Correct answer:

Total number of students = 480

Percentage of total students passed

= 75 % of total student = \( \Large \frac{75 \times 480}{100} = 360 students\)

Now, using the condition from the question,

Let the number of boys be x
Then, 70% of x + 85% of (480 - x) = 360

=> \( \Large \frac{70 \times x}{100} + \frac{85 \times (480 - x)}{100} = 360 \)

=> 70x - 85x + 40800 = 36000

=> 40800 - 36000 = 85x - 70x

=> 4800 = 15x

=> \( \Large x = \frac{4800}{15} = 320 \)

There are 320 boys who have appeared for the examination.

Part of solved Percentage questions and answers : >> Aptitude >> Percentage

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