Question

In a school out of 500 students, 60% are boys and 40% are girls.
If 40 boys leave school and 20 new girls are admitted. What is the new percentage of boys in the school?

• A. 50
• B. 52
• C. 45.83
• D. 54.16

Answer 1

The correct option is D 54.16

Given that,
Total number of children in a school = 500
Number of boys in the school = 60% of 500
$=\frac{60}{100}\times 500=300$
Number of girls in the school = 40% of 500
$=\frac{40}{100}\times 500=200$
Now, as given that 40 boys leave school and 20 girls are newly admitted in the school,
$\therefore$ Number of boys left = 300 - 40 = 260
$\therefore$ Number of girls left = 200 + 20 = 220
Now, total number of children in the school = 260 + 220 = 480
$\therefore$ Percentage of boys in the school
$=\frac{numberofboys}{totalnumberofchildren}$ $\times 100$
$=\frac{260}{480}$ $\times 100$
$=54.16$%