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A school has received 60% of the amount it needs for a new building by

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A school has received 60% of the amount it needs for a new building by  [#permalink]

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New post 15 Nov 2019, 01:40
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Question Stats:

69% (02:31) correct 31% (02:40) wrong based on 54 sessions

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A school has received 60% of the amount it needs for a new building by receiving a donation of $400 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?

A. $200
B. $177.78
C. $100
D. $277.78
E. $377.78


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Re: A school has received 60% of the amount it needs for a new building by  [#permalink]

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New post 15 Nov 2019, 04:31
let total students =100
solicited = 40% ; 40 students contributed 400$ each
40*400 = .6x
x= 26,666 $
26,666*40% = $ 10666
10666 per 60 students = 10666/60 ; ~ 177 $
IMO B

Bunuel wrote:
A school has received 60% of the amount it needs for a new building by receiving a donation of $400 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?

A. $200
B. $177.78
C. $100
D. $277.78
E. $377.78


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Re: A school has received 60% of the amount it needs for a new building by  [#permalink]

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New post 16 Nov 2019, 05:38
Let the total amount required be $T and the total number of contributors be 10. So $ 400*4=$1600 has already been received from 4 contributors which is equal to 60% or 3/5th of T. The remaining $2/5*T is equal to 1600*(5/3)*(2/5)=$(3200/3) has to be collected from the remaining 6 contributors.
Therefore average contribution required = (3200)/(3*6)=177.777=$177.78. Ans: B
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Re: A school has received 60% of the amount it needs for a new building by   [#permalink] 16 Nov 2019, 05:38
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