45% of the total candidates who appeared for an examination were girls. 75% of the boys and 80% of the girls passed, and 144 girls failed. How many boys failed?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 220
Given:
45% of the total candidates who appeared for an examination were girls.
75% of the boys and 80% of the girls passed, and 144 girls failed.
Calculations:
Let the number of students be 100x
Total number of boys = 55% of 100x = 55x
Total number of girls = 100x - 55x = 45x
Number of girls failed = 20% of 45x = 9x
⇒ 9x = 144
⇒ x = 16
Number of boys failed = 25% of 55x = 13.75x
⇒ 13.75 × 16 = 220