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# A group of 10 people plan to contribute equally to pay for a friend’s

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Math Expert
Joined: 02 Sep 2009
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A group of 10 people plan to contribute equally to pay for a friend’s  [#permalink]

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15 Jan 2018, 08:34
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Difficulty:

15% (low)

Question Stats:

85% (01:45) correct 15% (01:55) wrong based on 30 sessions

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A group of 10 people plan to contribute equally to pay for a friend’s gift that costs G dollars. If n additional people want to contribute to pay for the gift, the required contribution per person will be reduced by how many dollars?

(A) Gn/(100 + 10n)
(B) (10 + n)/(Gn)
(C) (10G + Gn)/n
(D) (Gn + 10G)/(Gn - 10)
(E) 10G/(n^2 + 10n)

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Re: A group of 10 people plan to contribute equally to pay for a friend’s  [#permalink]

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15 Jan 2018, 08:39
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1
Total amount of the gift = G\$

10 people to contribute, so per person contribution will be G/10

now n more will also pay , so now per person contribution will be G/10+n

so difference amount will be G/10 - G/10+n = Gn/10(10+n)
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Re: A group of 10 people plan to contribute equally to pay for a friend’s  [#permalink]

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15 Jan 2018, 09:31
1
Bunuel wrote:
A group of 10 people plan to contribute equally to pay for a friend’s gift that costs G dollars. If n additional people want to contribute to pay for the gift, the required contribution per person will be reduced by how many dollars?

(A) Gn/(100 + 10n)
(B) (10 + n)/(Gn)
(C) (10G + Gn)/n
(D) (Gn + 10G)/(Gn - 10)
(E) 10G/(n^2 + 10n)

Contribution for each member when there were 10 members is $$\frac{G}{10}$$
Contribution for each member when there were ( 10 + n )members is $$\frac{G}{( 10 + n )}$$

So, Contribution of each members gets reduced by -

$$\frac{G}{10}$$ - $$\frac{G}{( 10 + n )}$$

= $$\frac{10G - 10G + Gn}{100 + 10n}$$

= $$\frac{Gn}{(100 + 10n)}$$ , Answer will be (A)

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Re: A group of 10 people plan to contribute equally to pay for a friend’s   [#permalink] 15 Jan 2018, 09:31
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# A group of 10 people plan to contribute equally to pay for a friend’s

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