The ratio of the number of boys and girls who participated in an examination is 4:3. The total percentage of candidates who passed the examination is 80% and the percentage of girls who passed the exam is 90%. The percentage of boys who passed is _______. A. 60.50 B. 72.50 C. 75.00 D. 90.00

GATE 2019 · General Aptitude · Ratio Proportion · medium

Answer: Percentage of boys who passed = 72.5% (Answer B)

1. Set up numbers using ratio 4:3: Boys = 400, Girls = 300, Total = 700 (a convenient multiple of 7).
2. Find total number who passed: 560 candidates passed in total.
3. Find number of girls who passed: 270 girls passed.
4. Find number of boys who passed: 290 boys passed out of 400 boys.
5. Compute boys' pass percentage: 290/400 = 0.725, so boys' pass percentage = 72.5%.