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Larry saves x dollars per month. Will Larry’s total savings one year

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agnok
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Larry saves x dollars per month. Will Larry’s total savings one year [#permalink] New post   06 Oct 2010, 07:10
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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.



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Re: Larry saves x dollars per month. Will Larry’s total savings one year [#permalink] New post   06 Oct 2010, 07:36
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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.

Answer: B.
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Re: Larry saves x dollars per month. Will Larry’s total savings one year [#permalink] New post   17 Aug 2017, 09:02
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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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Re: Larry saves x dollars per month. Will Larry’s total savings one year [#permalink] New post   26 Nov 2020, 17:06
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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.



DS21223


(1) In six months, Larry's total savings will be $900. We don't know what his current savings are. It could be that his current savings are $888; therefore he only exceeds his present savings by $12. Or it could be that his current savings are $300 and he saves $100 each month for the next 6 months. INSUFFICIENT.

(2) In 3 months his savings will increase by $150, meaning each month he saves $50. We can conclude that his total savings for the year will exceed his present savings by $600. SUFFICIENT.

Answer is B.
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Re: Larry saves x dollars per month. Will Larrys total savings one year [#permalink] New post   12 Jun 2023, 03:07
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Re: Larry saves x dollars per month. Will Larrys total savings one year [#permalink]
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