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# A parent established a college fund for his daughter. Each year the

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Director
Joined: 19 Mar 2007
Posts: 522
A parent established a college fund for his daughter. Each year the [#permalink]

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09 Jul 2007, 05:02
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25% (medium)

Question Stats:

68% (02:12) correct 32% (00:57) wrong based on 108 sessions

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A parent established a college fund for his daughter. Each year the parent made a contribution to the fund, and each year he increased his contribution by a constant amount. If he made a contribution of $800 in the first year, by what amount did the parent increase his contribution to the fund each year? (1) The parent's contribution to the fund in the 18th year was$7600.
(2) The parent's contribution to the fund in the 7th year was twice what it was in the 3rd year.
[Reveal] Spoiler: OA

Last edited by Bunuel on 22 Jul 2015, 02:24, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
Manager
Joined: 07 Feb 2007
Posts: 212
Re: A parent established a college fund for his daughter. Each year the [#permalink]

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09 Jul 2007, 05:53
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nick_sun wrote:
A parent established a college fund for his daughter. Each year the parent made a contribution to the fund, and each year he increased his contribution by a constant amount. If he made a contribution of $800 in the first year, by what amount did the parent increase his contribution to the fund each year? (1) The parent’s contribution to the fund in the 18th year was$7600.
(2) The parent’s contribution to the fund in the 7th year was twice what it was in the 3rd year.

d

Assuming the C(m) is the contribution according to month m, and the increase amount per month is k. where C(m)=800+(k-1)*m.
(1) C(18)=800+(18-1)*m=7600; Sufficient;
(2) C(7)/C(3)=(800+(7-1)*m)/(800+(3-1)*m)=2; Sufficient.
Senior Manager
Joined: 04 Jun 2007
Posts: 345
Re: A parent established a college fund for his daughter. Each year the [#permalink]

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09 Jul 2007, 06:40
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wudy wrote:
nick_sun wrote:
A parent established a college fund for his daughter. Each year the parent made a contribution to the fund, and each year he increased his contribution by a constant amount. If he made a contribution of $800 in the first year, by what amount did the parent increase his contribution to the fund each year? (1) The parent’s contribution to the fund in the 18th year was$7600.
(2) The parent’s contribution to the fund in the 7th year was twice what it was in the 3rd year.

d

Assuming the C(m) is the contribution according to month m, and the increase amount per month is k. where C(m)=800+(k-1)*m.
(1) C(18)=800+(18-1)*m=7600; Sufficient;
(2) C(7)/C(3)=(800+(7-1)*m)/(800+(3-1)*m)=2; Sufficient.

Agree with D. This is an arithmetic progression problem.
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Re: A parent established a college fund for his daughter. Each year the [#permalink]

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22 Jul 2015, 02:03
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Director
Joined: 04 Jun 2016
Posts: 650
GMAT 1: 750 Q49 V43
A parent established a college fund for his daughter. Each year the [#permalink]

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02 Aug 2016, 00:48
nick_sun wrote:
A parent established a college fund for his daughter. Each year the parent made a contribution to the fund, and each year he increased his contribution by a constant amount. If he made a contribution of $800 in the first year, by what amount did the parent increase his contribution to the fund each year? (1) The parent's contribution to the fund in the 18th year was$7600.
(2) The parent's contribution to the fund in the 7th year was twice what it was in the 3rd year.

From stimulus
$in Year 1 = 800$ in Year 2 = 800+x
$in Year 3 = 800+x+x$ in Year 4 = 800+x+x+x
(1) The parent's contribution to the fund in the 18th year was $7600.$ in Year 18 = 800+17x
7600=800+17x
SUFFICIENT

(2) The parent's contribution to the fund in the 7th year was twice what it was in the 3rd year.[/quote]
$in 7th year =$ in 3rd year * 2
800+6x=(800+2x) *2
800+6x=1600+4x
SUFFICIENT

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A parent established a college fund for his daughter. Each year the   [#permalink] 02 Aug 2016, 00:48
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