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# Larry saves x dollars per month. Will Larry s total savings

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Manager
Joined: 17 Nov 2009
Posts: 226
Larry saves x dollars per month. Will Larry s total savings [#permalink]

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06 Oct 2010, 07:10
1
KUDOS
3
This post was
BOOKMARKED
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Difficulty:

25% (medium)

Question Stats:

67% (01:10) correct 33% (01:03) wrong based on 96 sessions

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Larry saves x dollars per month. Will Larry’s total savings one year from now exceed his present savings by at least $500 ? (Assume that there is no interest.) (1) In 6 months Larry's total savings will be$900.
(2) In 3 months Larry's total savings will exceed his present savings by $150. Please explain why statement 1 is not sufficient [Reveal] Spoiler: OA Math Expert Joined: 02 Sep 2009 Posts: 44421 Re: Savings DS [#permalink] ### Show Tags 06 Oct 2010, 07:36 1 This post received KUDOS Expert's post 1 This post was BOOKMARKED agnok wrote: Larry saves x dollars per month. Will Larry’s total savings one year from now exceed his present savings by at least$500 ? (Assume that there is no interest.)

(1) In 6 months Larry's total savings will be $900. (2) In 3 months Larry's total savings will exceed his present savings by$150.

Please explain why statement 1 is not sufficient

Let's say Larry's present savings is $$y$$.
Question: is $$12x+y>y+500$$? --> is $$12x>500$$?

(1) $$y+6x=900$$, not sufficient to say whether $$12x>500$$ (or whether $$6x>250$$).
(2) $$y+3x=y+150$$ --> $$x=50$$ --> $$12x=600>500$$. Sufficient.

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Manager
Joined: 22 May 2015
Posts: 100
Re: Larry saves x dollars per month. Will Larry s total savings [#permalink]

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17 Aug 2017, 09:02
1
KUDOS
Given : Larry saves x $per month From 1) Larry saves 150$ per month, hence in 12 months he saves 1800$. But we don't have info about his present savings. Not Sufficient. 2) In 3 months Larry's savings exceed his saving by 150$. Now since it is given Larry saves an constant amount every month, it is safe to assume in 12 months Larry's savings will exceed his previous savings by 600\$.
Sufficient.
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Consistency is the Key

Re: Larry saves x dollars per month. Will Larry s total savings   [#permalink] 17 Aug 2017, 09:02
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