Question

If 60% of students in a school are boys and the total number of girls in the school is 460 , find the number of boys in the school ?

Answer 1

Given :

• 60% of students in a school are boys and the total number of girls in the school is 460

To find :

• The number of boys in the school

Solution :

Let ,

Total number of students be x

Since , boys are 60%

Thus , girls will be 40%

and

Total number of girls = 460

Therefore , 40% of x = 460

$\frac{40}{100} \times x = 460$

$x = 1150$

==} Number of boys = 1150 - 460 = 690

Hence , the number of boys in the school is 690

$\begin{gathered}\small\boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P - C.P} \\ \\ \bigstar \:\sf{Loss = C.P - S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array}}\end{gathered}$

Answer 2

Step-by-step explanation:

Given:-

60% of students in a school are boys and the total number of girls in the school is 460.

To find:-

Find the number of boys in the school ?

Solution:-

Let the Total number of students in a school be N

Number of boys in the school = 60% of the total number of students in the school

=> 60% of N

=> 60% ×N

=>(60/100)×N

=>(60×N)/100

=>60N/100

=>3N/5

Number of boys = 3N/5

Number of girls = Total students - Number of boys

=>Number of girls = N -(3N/5)

Number of girls = (5N-3N)/5

=>Number of girls = 2N/5

According to the given problem

Total number of girls = 460

=>2N/5 = 460

=>2N = 460×5

=>2N = 2300

=>N = 2300/2

=>N = 1150

Total number of students = 1150

NUmber of boys = Total students - Number of girls

=>1150-460

=>690

Answer:-

Total number of boys in the school is 690

Check:-

Total students= 690+460 = 1150

If 60% of boys then remaining 40% of the students are girls

=>40% × 1150

=>(40×1150)/100

=>4×115

=>460

Verified the given relations