Question

In an examination, there were 2000 candidates, out of which 900 candidates were boys and the rest were girls. If 32% of the boys and 38% of the girls passed, then the total percentage of failed candidates is

• A. 68.5%
• B. 64.7%
• C. 35.3%
• D. 70%

Answer 1

Answer: (B)

64.7%

Answer 2

boys = 900
girls = 1100
Passed = 32% of 900 + 38% of 1100 = 288 + 418 = 706
Failed = 2000 - 706 = 1294
Total % of failed candidates
= $\frac{(2000 - 706) }{ 2000}$
$= \frac{1294}{2000}$

$= 64.7$

Therefore, the correct option is (B): 64.7%