Question

55% student in a school are boys find the total number of students in the school if 270 are girls​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

There are 600 total students in the school. 330 boys and 270 girls.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Percentage of Boys in school = 55%

Girls in the school = 270

To find :

Total number of students in the school

Solution :

If 55% are boys, % of girls would be =

$\Rightarrow$ 100 - 55

$\Rightarrow$ 45 %

Girls in the school are 45%

Girls present in the school are 270.

Consider the total number of students in the school as x

$\sf{\Rightarrow \: 45\% \: of \: x = 270}$

$\sf{\Rightarrow \: \dfrac{45}{100} \times x = 270}$

$\sf{\Rightarrow \:45x = 270 \times 100}$

$\sf{\Rightarrow \:45x = 27000}$

$\sf{\Rightarrow \:x = 600}$

Total students in the School are 600.

Number of Boys :

$\sf{\Rightarrow \:600 - 270}$

$\sf{\Rightarrow \:330}$

There are 330 boys.

$\therefore$ There are 600 total students in the school. 330 boys and 270 girls.

Answer 2

$\huge \underline \mathfrak {Solution:-}$

Let x be the number of students in the school.

Percent of boys in the school = 55%

Percent of girls in the school = 100-55 = 45%

Number of girls in the school = 270

According to question

45 % of x = 270

45x / 100 = 270

45x = 270 × 100

x = 27000/45

x = 600

So, there are 600 students in the school.

If we want to find out the number of boys in the school then subtract number of girls from total number of students.

i.e,

Number of boys = Total number of students - Number of girls

= 600-270

= 330

So, there are 330 boys in the school.