Question

$1100$ boys and $700$ girls are examined in a test. $42\%$ of the boys and $30\%$ of the girls passed. The percentage of the students who failed is _________.

• A. $58\%$
• B. $62\frac{2}{3}\%$
• C. $64\%$
• D. $78\%$

Answer 1

The correct option is B $62\frac{2}{3}\%$

Total number of students $=1100+700=1800.$

Number of students passed $=(\frac{42}{100}\times 1100+\frac{30}{100}\times 700)=(462+210)=672.$

Number of failures $=1800-672=1128.$

Percentage failure $=(\frac{1128}{1800}\times 100)\%=62\frac{2}{3}\%.$