Question

36 % of student in school are girls . if number of boys is 1440 find total strength of school

Answer 1

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Answer 2

The total strength of the school is 2250 if 36 % of students in the school are girls and if the number of boys is 1440

Given,

Percentage of girls in the school = 36 %

No. of boys = 1440

To Find,

The total strength of the school

Solution,

Let the total strength of the school be x

We are given that the no. of boys is 1440

Based on a general assumption that the genders of students of the school are boys and girls, the no. of girls is x-1440

Also, we are given that 36% of all students are girls

⇒ $x-1440 = 36 \hspace{0.1cm} \% \hspace{0.1cm} of \hspace{0.1cm} x$

⇒ $x-1440 = \frac{36}{100} \times x$

⇒ $x-1440 = 0.36x$

⇒ $x-0.36x = 1440$

⇒ $0.64x = 1440$

⇒ $\frac{64}{100} \times x = 1440$

⇒ $x = \frac{1440\times100}{64}$

⇒ $x = 2250$

Therefore, the total strength of the school is 2250

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