in a school there are 20% girls. If 10 boys and 20 girls are newly admitted to the school, the percentage of girls becomes 25. what is the original strength of the school?
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Step-by-step explanation:
let original no. of students = x
Original no. of girls = 20x/100 = x/5
no. of boys admitted = 10
no. of girls admitted = 20
Total children admitted = 30
New no. of students = x + 30
No. of girls = 25/100 × ( x + 30 )
= (x + 30) / 4 ➡️ 1
Also , No. of girls = Original no. + No. of girls admitted = x/5 + 20 = ( x + 100) / 5➡️2
From eq 1 and 2
( x + 30 ) / 4 = ( x + 100 ) 5
5x + 150 = 4x + 400
x = 250
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