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# percentage

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There are 120 girls and 57 boys in a school. If 5% of the girls leave the school and no new candidates take up admission, what will be the total percentage of boys in the school?

Jan 13, 2021

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There are 120 girls and 57 boys in a school. If 5% of the girls leave the school and no new candidates take up admission, what will be the total percentage of boys in the school?

Hello Guest!

$$120\times 5\%=\color{blue}6$$

5% of the students are 6 girls.

$$120+57-6=\color{blue}171$$   $$⇒ 100\%$$

$$171:100\%=57:x\\ 171x=57\cdot 100\%\\ x=\frac{57\cdot 100\%}{171}$$

$$x=33\frac{1}{3}\%$$

The percentage of boys in the school is $$33\frac{1}{3}\%$$.

!

Jan 13, 2021
edited by asinus  Jan 13, 2021