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

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

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New post Updated on: 22 Jul 2015, 02:24
3
00:00
A
B
C
D
E

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.
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Re: A parent established a college fund for his daughter. Each year the  [#permalink]

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New post 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.
Therefore, the answer is D.
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A parent established a college fund for his daughter. Each year the  [#permalink]

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New post 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 -
ANSWER IS D
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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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New post 21 Feb 2018, 06:22
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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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