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?
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Perfect solution.
Dumb problem. 57 is odd. The only odd option is D. It doesn't even need to be solved. !!
5 % of the girls leave, so 9 5 % should be left which is 1 0 0 9 5 × 1 2 0 = 1 1 4 . So, total students = 1 1 4 + 5 7 = 1 7 1 . So, percentage of boys is 3 1 7 1 1 5 7 × 1 0 0 = 3 3 3 1 .
Calculated exactly the part of the boys will be 3 3 . 3 % = 0 . 9 5 ∗ 1 2 0 + 5 7 5 7 = 1 7 1 5 7 ! 33.5% is located most nearby.
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Number of girls that left the school = 1 2 0 × 1 0 0 5 = 1 2 0 × 2 0 1 = 6
Remaining number of students = 1 2 0 − 6 + 5 7 = 1 7 1
New percentage of boys = 1 7 1 5 7 × 1 0 0 % = 3 1 × 1 0 0 % = 3 3 3 1 %