Question

in a co-education secondary school 55% of the students are boys .there are 360 girls in the school the number of boys in the school is​

Answer 1

Answer:

440

Step-by-step explanation:

Let total number of students are x

then 100-55 = 45% of students are girls

45/100 * x = 360

45x = 36000

x = 800

number of boys = 800-360 = 440

Answer 2

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,

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

$= > \dfrac{45}{100} \times x = 360$

$= > \dfrac{45x}{100} = 360$

$= > x = \dfrac{360 \times 100}{45}$

$= > x = 800$

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 :-

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

$= > \dfrac{55}{100} \times 800 = 440$

$= > 440 = 440$

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

Hence, Proved