Question

The ratio of boys and girls in a class is 5:3. 20% of the boys and 60%of the girls have passed in first class. What percentage of the class has passed in first class

Answer 1

Let the number of boys in the class be 5x and the number of girls in the class be 3x.

Total number of students = total number of boys + total number of girls

Total number of students = 5x + 3x

Total number of students= 8 x



Given,
20% of total boys have passed the first class .It means that 20% of 5x have passed the first class.

Also given that 60% of total girls have passed in first class. It means that 60% of 3x have passed in first class.


Then,
Number of boys who have passed the first class = 20% of x

Number of boys who have passed in first class = 20% of 5 x

Number of boys who have passed in first class = 20 / 100 × 5 x

Number of boys who have passed in first class = x


Number of girls who have passed in first class = 60% of total girls

Number of girls who have passed in first class = 60% of 3 x

Number of girls who have passed in first class = 60 / 100 × 3 x

Number of girls who have passed in first class = 1.8 x



Total number of students who have passed in first class = x + 1.8 x = 2.8 x




Percentage of passed students = total number of Passed students / total number of students × 100

$\text{Percentage of passed students }= \dfrac{2.8x}{8x} \times 100 = \dfrac{2.8}{8} \times 100$


$\bold{Percentage \: \: of \: \: passed \: \: students = 35 \%}$

Answer 2

Answer:

35%

IS THE CORRECT ANSWER!!!