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

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

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New post 15 Jan 2018, 08:34
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81% (01:37) correct 19% (01:55) wrong based on 26 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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New post 15 Jan 2018, 08:39
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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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New post 15 Jan 2018, 09:31
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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 &nbs [#permalink] 15 Jan 2018, 09:31
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