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# The members of an association decided to contribute equally to create

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Manager
Joined: 13 Aug 2018
Posts: 55
The members of an association decided to contribute equally to create  [#permalink]

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20 Nov 2019, 08:06
3
00:00

Difficulty:

75% (hard)

Question Stats:

45% (03:00) correct 55% (02:45) wrong based on 22 sessions

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The members of an association decided to contribute equally to create a fund of \$45000. Five members refused to contribute, so each of the other members had to contribute additional \$15 for that fund. how many members were there in the association?

a) 120
b) 125
c) 130
d) 135
e) 150
Manager
Joined: 24 Sep 2019
Posts: 74
Re: The members of an association decided to contribute equally to create  [#permalink]

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20 Nov 2019, 11:51
Step 1: take the average contribution for each possible number of people (45,000/120, 125, 130, etc.) to get averages of:
\$375, \$360, \$346.15, \$333.33 \$300
Since 5 people did not contribute, and the group paid an additional \$15 per person, we need to find a \$15 difference between 2 averages. Since A and B are \$15 apart, and B's average is \$15 less than A, the answer is B.
Intern
Joined: 03 Nov 2019
Posts: 38
Re: The members of an association decided to contribute equally to create  [#permalink]

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26 Nov 2019, 06:26
2
Let there be N members initially.
Amount to be paid by each member= Average= \$ 45000/N
Amount to be paid by 5 members= 5* 45000/N
If 5 member out of N refused to contribute then the number of paying members reduced to (N-5)
And now each one have to pay additional \$ 15; So additional amount paid by (N-5) members = (N-5)*15
And this amount is exactly equal to the amount the 5 members refused to contribute.
Therefore
5*45000/N=(N-5)*15
N(N-5)=15000
N(N-5)= 125*(125-5)
Therefore N=125
Re: The members of an association decided to contribute equally to create   [#permalink] 26 Nov 2019, 06:26
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