Question

55%0are boys and 360 are girls total number of boys ?

Answer 1

Answer :-

$\bf\huge\boxed{440}$

Explanation :-

Given :

Percentage of boys - 55%

No. of girls - 360

To find :

The number of boys in the school

Solution :

Let the total number of students be x

Therefore, Percentage of girls :-

= (100 - 55)%

= 45%

According to question,

$\implies \: 45\% \: of \: x \: = 360$

$\implies \: \frac{45}{100} \times x = 360$

$\star \implies \frac{45x}{100} = 360$

$\implies \: x = \frac{360 \times 100}{45}$

$\therefore \: x = 800$

Hence, the total number of students is 800.

Now,

Number of boys :-

= (Total number of students - Number of girls)

= (800 - 360)

= 440

Hence, the total number of boys in the school are 440

Verification :-

$\implies \: 55\% \: of \: 800 = 440$

$\implies \: \frac{55}{100} \times 800 = 440$

$\therefore \: 440 = 440$

Therefore, L.H.S = R.H.S

$\bf\huge\boxed{Hence, Proved}$