Question

In a class of 125 students, 56 % of the students are girls. How many girls and boys are there in the class?

• A.
  75 girls, 50 boys
• B.
  80 girls, 45 boys
• C.
  70 girls, 55 boys
• D.
  85 girls, 40 boys

Answer 1

The correct option is C

70 girls, 55 boys
Given,
Total strength of the class $=125$
Girls $=56$%
So, boys $=100$%$-56$%
$=44$%
$\Rightarrow 56$% $=\frac{56}{100}$
$=\frac{28}{50}$
$=\frac{14}{25}$

$\Rightarrow 44$% $=\frac{44}{100}$
$=\frac{22}{50}$
$=\frac{11}{25}$

Number of girls $=56$% of $125$
$=\frac{14}{25}\times 125$
$=14\times 5$
$=70$

Number of boys $=44$% of $125$
$=\frac{11}{25}\times 125$
$=11\times 5$
$=55$