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# A college has raised 75% of the amount it needs for a new building by

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Math Expert
Joined: 02 Sep 2009
Posts: 55188
A college has raised 75% of the amount it needs for a new building by  [#permalink]

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11 Feb 2017, 11:58
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Difficulty:

25% (medium)

Question Stats:

80% (02:32) correct 20% (02:34) wrong based on 65 sessions

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A college has raised 75% of the amount it needs for a new building by receiving an average donation of \$60 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, how much must the remaining people donate per person?

A) \$25
B) \$30
C) \$40
D) \$50
E) \$60

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Re: A college has raised 75% of the amount it needs for a new building by  [#permalink]

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11 Feb 2017, 14:26
lets assume there are 100 people. so 60 people donated 60 each, that 60x60=3600
3600 is 75% of needed.

so remaining 25% needed = 3600*0.25/0.75 = 1200

1200\$ is for 40 people, so 30\$ each

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Joined: 28 May 2014
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A college has raised 75% of the amount it needs for a new building by  [#permalink]

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Updated on: 13 Nov 2017, 06:56
Suppose, there are x people.

So, total donated = .6x;
remaining people = .4x;

Total donation = .6x*60 = \$36x = 75% of required donation;
Therefore, remaining 25% of denation = {(36x)/(3/4)} *(1/4) = \$12x;

then required donation per person = 12x/.4x = \$30;
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Originally posted by saswata4s on 12 Feb 2017, 02:09.
Last edited by saswata4s on 13 Nov 2017, 06:56, edited 1 time in total.
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Re: A college has raised 75% of the amount it needs for a new building by  [#permalink]

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12 Nov 2017, 22:49
saswata4s wrote:
Suppose, there are x people.

So, total donated = .6x;
remaining people = .4x;

Total donation = .6x*60 = \$36x = 75% of required donation;
Therefore, remaining 25% of denation = 36x *(1/4) = \$12x;

then required donation per person = 12x/.4x = \$30;

You need to convert the 75% of required donation to 100% of the donation.
Then. calculate the remaining 25% of the donation.

and, 36/4 doesn't result in 12.
It would be like as follows :-
75% of required donation = 36x
so, required donation = 36x/.75 = 48x.
Thus, remaining 25% of donation = 48x *(1/4) = \$12x;
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Joined: 28 May 2014
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GMAT 1: 730 Q49 V41
Re: A college has raised 75% of the amount it needs for a new building by  [#permalink]

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13 Nov 2017, 06:57
1
Najmul wrote:
You need to convert the 75% of required donation to 100% of the donation.
Then. calculate the remaining 25% of the donation.

and, 36/4 doesn't result in 12.
It would be like as follows :-
75% of required donation = 36x
so, required donation = 36x/.75 = 48x.
Thus, remaining 25% of donation = 48x *(1/4) = \$12x;

Thanks for pointing out. Corrected now.
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Re: A college has raised 75% of the amount it needs for a new building by  [#permalink]

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08 Feb 2019, 07:33
Bunuel wrote:
A college has raised 75% of the amount it needs for a new building by receiving an average donation of \$60 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, how much must the remaining people donate per person?

A) \$25
B) \$30
C) \$40
D) \$50
E) \$60

Lets plug in a number => Total students = 10

60% solicited = 6

75% of x = 360(6*60,average donation/person)
Total money(x) = 480

25% of x = 120

remaining students = 4

Average = 120/4 = 30

B
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Re: A college has raised 75% of the amount it needs for a new building by   [#permalink] 08 Feb 2019, 07:33
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