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

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Senior Manager
Joined: 19 Mar 2007
Posts: 489
A parent established a college fund for his daughter. Each year the  [#permalink]

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Updated on: 22 Jul 2015, 02:24
3
00:00

Difficulty:

35% (medium)

Question Stats:

74% (01:39) correct 26% (01:37) wrong based on 140 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.

Originally posted by nick_sun on 09 Jul 2007, 05:02.
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: 174
Re: A parent established a college fund for his daughter. Each year the  [#permalink]

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09 Jul 2007, 05:53
2
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.
Director
Joined: 04 Jun 2016
Posts: 557
GMAT 1: 750 Q49 V43
A parent established a college fund for his daughter. Each year the  [#permalink]

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Updated on: 01 Jan 2019, 06:18
1
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 01 = 800
\$ in Year 02 = 800+x
\$ in Year 03 = 800+x+x = 800+2x
\$ in Year 04 = 800+x+x+x = 800+3x
\$ in Year 18 = 800+x+x+x = 800+17x

NOW LETS SEE THE OPTIONS (1) & (2) ONE BY ONE

OPTION (1) The parent's contribution to the fund in the 18th year was \$7600.
\$ in Year 18 = 800+17x
7600=800+17x
Therefore x=400
SUFFICIENT

OPTION (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
Therefore x= 400
SUFFICIENT

Since both A and B yields answer independent of each other -
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Originally posted by LogicGuru1 on 02 Aug 2016, 00:48.
Last edited by LogicGuru1 on 01 Jan 2019, 06:18, edited 2 times in total.
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Re: A parent established a college fund for his daughter. Each year the  [#permalink]

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21 Feb 2018, 06:22
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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Re: A parent established a college fund for his daughter. Each year the   [#permalink] 21 Feb 2018, 06:22
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