Question

In an examination, 1100 boys and 900 girls appeared. 50% of the boys and 40% of the girls passed the examination. The percentage of the failed candidates is
1. 54·5%
2. 45%
3. 45.5%
4. None of the above

Answer 1

Correct Answer - Option 1 : 54·5%

Given

Number of boys = 1100

Number of girls = 900

Percentage of boys passed in examination = 50%

Percentage of girls passed in examination  = 40%

Calculation

Number of boys passed = 50% of 1100

⇒ 550

Number of boys failed = 1100 - 550 = 550

Number of girls passed = 40% of 900

⇒ 360

Number of girls failed = 900 - 360 = 540

Total number of students = 1100 + 900 = 2000

Total number of students failed = 550 + 540 = 1090

Percentage of students failed = (1090/2000) × 100 = 54.5%