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In a school there are two sections A and B. When a few students from

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In a school there are two sections A and B. When a few students from [#permalink]

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New post 11 Apr 2018, 08:43
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In a school there are two sections A and B. When a few students from section B took transfer to section A the strength of section A increased by 22.5% and strength of B decreased by 30%. Now, what percentage of students in section A should be given a transfer to section B such that section A and section B have the same strengths?
A) \(\frac{100}{7}\)%
B) 20%
C) \(\frac{200}{7}\)%
D) 40%
E) \(\frac{300}{7}\)%
[Reveal] Spoiler: OA
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In a school there are two sections A and B. When a few students from [#permalink]

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New post 11 Apr 2018, 09:13
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hetmavani wrote:
In a school there are two sections A and B. When a few students from section B took transfer to section A the strength of section A increased by 22.5% and strength of B decreased by 30%. Now, what percentage of students in section A should be given a transfer to section B such that section A and section B have the same strengths?
A) \(\frac{100}{7}\)%
B) 20%
C) \(\frac{200}{7}\)%
D) 40%
E) \(\frac{300}{7}\)%



so 22.5% of A = 30% of B......
\(22.5*A = 30*B.......A = \frac{30B}{22.5} = \frac{4B}{3}\)..

Now let B = 300, so A = 400..
30% of 300 = 90..
so present strength - \(A= 400+90=490\) and \(B = 300-90=210\)..

to equalize both should have \(\frac{300+400}{2}=350\)

so \(490-350 = 140\) should move to B from A..
\(% = \frac{140}{490}*100 = \frac{200}{7}\)

C
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In a school there are two sections A and B. When a few students from   [#permalink] 11 Apr 2018, 09:13
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