Percentage

Algebra Level 2

There are 120 girls and 57 boys in a school. If 5 % 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?

31% 33 1/3% 32% 23%

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4 solutions

Hung Woei Neoh
May 26, 2016

Number of girls that left the school = 120 × 5 100 = 120 × 1 20 = 6 120 \times \dfrac{5}{100} = 120 \times \dfrac{1}{20} = 6

Remaining number of students = 120 6 + 57 = 171 120-6+57=171

New percentage of boys = 57 171 × 100 % = 1 3 × 100 % = 33 1 3 % \dfrac{57}{171} \times 100\% = \dfrac{1}{3} \times 100\% = \boxed{33\dfrac{1}{3}\%}

Perfect solution.

Ashish Menon - 5 years ago
DarkMind S.
Feb 8, 2017

Dumb problem. 57 is odd. The only odd option is D. It doesn't even need to be solved. !!

Ashish Menon
May 28, 2016

5 % 5\% of the girls leave, so 95 % 95\% should be left which is 95 100 × 120 = 114 \dfrac{95}{100} × 120 = 114 . So, total students = 114 + 57 = 171 114 + 57 = 171 . So, percentage of boys is 1 57 3 171 × 100 = 33 1 3 {\dfrac{1 \cancel{57}}{3 \cancel{171}} × 100} = \color{#69047E}{\boxed{33 \frac{1}{3}}} .

Andreas Wendler
Apr 24, 2016

Calculated exactly the part of the boys will be 33. 3 % = 57 0.95 120 + 57 = 57 171 33.\overline{3}\% = \frac{57}{0.95*120+57} = \frac{57}{171} ! 33.5% is located most nearby.

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