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# From May 1 to May 30 in the same year, the balance in a

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From May 1 to May 30 in the same year, the balance in a  [#permalink]

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Updated on: 25 Jan 2012, 10:55
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From May 1 to May 30 in the same year, the balance in a checking account increased. What was the balance in the checking account on May 30?

(1) If, during this period of time, the increase in the balance in the checking account had been 12 percent, then the balance in the account on May 30 would have been $504 (2) During this period of time, the increase in the balance in the checking account was 8 percent. _________________ Trying hard to achieve something unachievable now.... Originally posted by dkverma on 04 Nov 2010, 15:56. Last edited by Bunuel on 25 Jan 2012, 10:55, edited 3 times in total. Edited the OA, should be C not A ##### Most Helpful Expert Reply Math Expert Joined: 02 Sep 2009 Posts: 65785 Re: Difference in Balance [#permalink] ### Show Tags 04 Nov 2010, 18:19 7 8 dkverma wrote: From May 1 to May 30 in the same year, the balance in a checking account increased. What was the balance in the checking account on May 30? (1) If, during this period of time, the increase in the balance in the checking account had been 12 percent, then the balance in the account on May 30 would have been$504
(2) During this period of time, the increase in the balance in the checking account was 8 percent.

Let the balance on May 1 be $$x$$, on May 30 $$y$$ and increase $$p$$ percent.

So $$x*(1+\frac{p}{100})=y$$. Question: $$y=?$$

(1) $$x*(1+\frac{12}{100})=504$$ --> we can find $$x$$, but still not sufficient to get $$y$$.
(2) $$p=8$$. Clearly insufficient.

(1)+(2) We know both $$x$$ and $$p$$ so we can calculate $$y$$. Sufficient.

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Re: Difference in Balance  [#permalink]

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01 Aug 2013, 09:46
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FTGNGU wrote:
Bunuel wrote:
dkverma wrote:
From May 1 to May 30 in the same year, the balance in a checking account increased. What was the balance in the checking account on May 30?
(1) If, during this period of time, the increase in the balance in the checking account had been 12 percent, then the balance in the account on May 30 would have been $504 (2) During this period of time, the increase in the balance in the checking account was 8 percent. Let the balance on May 1 be $$x$$, on May 30 $$y$$ and increase $$p$$ percent. So $$x*(1+\frac{p}{100})=y$$. Question: $$y=?$$ (1) $$x*(1+\frac{12}{100})=504$$ --> we can find $$x$$, but still not sufficient to get $$y$$. (2) $$p=8$$. Clearly insufficient. (1)+(2) We know both $$x$$ and $$p$$ so we can calculate $$y$$. Sufficient. Answer: C. Hi, Could you please help me here, Already answer is available in option A so why we have to rule out? The question states : "If, during this period of time ....... would have been$504"

Note that this statement doesn't give us the actual balance amount. It just gives a condition based on the initial value.

For eg, I get a raise in salary, and you want to know my final salary.I tell you that if I had a 20% increase on my salary, it would amount to 120. Thus, you can easily guess that my initial salary = 100. But, do you know the final raise that I got? No.
Now, along with the above information, If also tell you that I DID get a 10% hike, you would be able to guess that my final salary = 110.

Similar analogy for the above problem.

Hope this helped.
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Re: Difference in Balance  [#permalink]

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01 Aug 2013, 08:10
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Bunuel wrote:
dkverma wrote:
From May 1 to May 30 in the same year, the balance in a checking account increased. What was the balance in the checking account on May 30?
(1) If, during this period of time, the increase in the balance in the checking account had been 12 percent, then the balance in the account on May 30 would have been $504 (2) During this period of time, the increase in the balance in the checking account was 8 percent. Let the balance on May 1 be $$x$$, on May 30 $$y$$ and increase $$p$$ percent. So $$x*(1+\frac{p}{100})=y$$. Question: $$y=?$$ (1) $$x*(1+\frac{12}{100})=504$$ --> we can find $$x$$, but still not sufficient to get $$y$$. (2) $$p=8$$. Clearly insufficient. (1)+(2) We know both $$x$$ and $$p$$ so we can calculate $$y$$. Sufficient. Answer: C. Hi, Could you please help me here, Already answer is available in option A so why we have to rule out? EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 17272 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: From May 1 to May 30 in the same year, the balance in a [#permalink] ### Show Tags 13 Dec 2017, 21:29 3 Hi All, We're told that from May 1 to May 30 in the same year, the balance in a checking account increased. We're asked for the balance in the checking account on May 30. This question is a great example of a 'concept' question, meaning that you don't have to do any actual math to solve it (as long as you recognize the concepts involved). 1) If, during this period of time, the increase in the balance in the checking account had been 12 percent, then the balance in the account on May 30 would have been$504

Fact 1 gives us a 'hypothetical' situation, that allows us to create the following equation:
(1.12)(May 1st balance) = $504 We can use this information to figure out the initial balance on May 1st, but since we don't know that ACTUAL increase in the balance of the account, we cannot determine the total in the account on May 30th. Fact 1 is INSUFFICIENT 2) During this period of time, the increase in the balance in the checking account was 8 percent. Fact 2 gives us the (percent) increase in the balance of the account, but we still don't know the ending balance on May 30th. Fact 2 is INSUFFICIENT Combined, we know: -The balance on May 1st -The balance increased by 8% from May 1st to May 30th With this information, we CAN calculate the balance on May 30th (but we don't actually have to do any of the individual math 'steps' to know that). Final Answer: GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at: Rich.C@empowergmat.com The Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★ Manager Joined: 02 Jan 2017 Posts: 66 Location: Pakistan Concentration: Finance, Technology GMAT 1: 650 Q47 V34 GPA: 3.41 WE: Business Development (Accounting) Re: From May 1 to May 30 in the same year, the balance in a [#permalink] ### Show Tags 15 Dec 2017, 07:08 The only point that is crucial to get this Question right is that [ IF ] in Statement 1, 504 is not the balance at may 30 but it would be the balance if A certain amount X is increased at 12 % . We use Statment 1 to get Amount X But we do not have the actual increase in amount, it is insufficient We use Statement 2 to apply the actual increment We have the actual increase but not the amount, it is insufficient Hence we have to use Both statements , therefore answer is C. Intern Joined: 08 Jul 2019 Posts: 16 Location: India Schools: Copenhagen Re: From May 1 to May 30 in the same year, the balance in a [#permalink] ### Show Tags 27 Sep 2019, 08:03 I understand we don't need to calculate the actual amount, but how do we know it is Compound Interest and not simple interest? EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 17272 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: From May 1 to May 30 in the same year, the balance in a [#permalink] ### Show Tags 27 Sep 2019, 10:18 1 Hi jimar, This prompt is NOT an "interest rate" question - and you probably noticed that an interest rate was NEVER mentioned. The prompt tells us that the balance simply increased - and in the context of what we are given, that means that someone deposited more money into it. GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at: Rich.C@empowergmat.com The Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★ Manager Joined: 17 Jul 2017 Posts: 243 Re: From May 1 to May 30 in the same year, the balance in a [#permalink] ### Show Tags 14 Oct 2019, 02:40 Bunuel wrote: dkverma wrote: From May 1 to May 30 in the same year, the balance in a checking account increased. What was the balance in the checking account on May 30? (1) If, during this period of time, the increase in the balance in the checking account had been 12 percent, then the balance in the account on May 30 would have been$504
(2) During this period of time, the increase in the balance in the checking account was 8 percent.

Let the balance on May 1 be $$x$$, on May 30 $$y$$ and increase $$p$$ percent.

So $$x*(1+\frac{p}{100})=y$$. Question: $$y=?$$

(1) $$x*(1+\frac{12}{100})=504$$ --> we can find $$x$$, but still not sufficient to get $$y$$.
(2) $$p=8$$. Clearly insufficient.

(1)+(2) We know both $$x$$ and $$p$$ so we can calculate $$y$$. Sufficient.

Bunuel
how do u know it is Compund interest and not si
also how do u we know the compunding frequency ,it may be compunded daily
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From May 1 to May 30 in the same year, the balance in a  [#permalink]

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14 Oct 2019, 02:57
vanam52923 wrote:
Bunuel wrote:
dkverma wrote:
From May 1 to May 30 in the same year, the balance in a checking account increased. What was the balance in the checking account on May 30?
(1) If, during this period of time, the increase in the balance in the checking account had been 12 percent, then the balance in the account on May 30 would have been $504 (2) During this period of time, the increase in the balance in the checking account was 8 percent. Let the balance on May 1 be $$x$$, on May 30 $$y$$ and increase $$p$$ percent. So $$x*(1+\frac{p}{100})=y$$. Question: $$y=?$$ (1) $$x*(1+\frac{12}{100})=504$$ --> we can find $$x$$, but still not sufficient to get $$y$$. (2) $$p=8$$. Clearly insufficient. (1)+(2) We know both $$x$$ and $$p$$ so we can calculate $$y$$. Sufficient. Answer: C. Bunuel how do u know it is Compund interest and not si also how do u we know the compunding frequency ,it may be compunded daily Whether the account pays simple or compound interest is irrelevant. 12% in (1) and 8% in (2) are total percent increases. For example, (2) says that the increase in the balance in the checking account was 8 percent. So, if the initial balance was$100, then the end balance was $108, and it does not matter if it was simple interest of 8% per that period or compound interest, compounded 30 times, which resulted in final interest of 8%. Hope it's clear. _________________ Intern Joined: 15 Jun 2019 Posts: 3 Re: From May 1 to May 30 in the same year, the balance in a [#permalink] ### Show Tags 14 Jun 2020, 23:00 Bunuel Can you please help me to solve the below equations quickly? 1. x= 504/1.12 2. y= 1.08*x (x calculated in step 1) Is there a shortcut to calculate within seconds, the value of x and y. EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 17272 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: From May 1 to May 30 in the same year, the balance in a [#permalink] ### Show Tags 15 Jun 2020, 12:21 Shilpa04 wrote: Bunuel Can you please help me to solve the below equations quickly? 1. x= 504/1.12 2. y= 1.08*x (x calculated in step 1) Is there a shortcut to calculate within seconds, the value of x and y. Hi Shilpa04, Neither of those calculations is actually required to answer this DS question, so you have to be careful about performing 'extra' math steps when you don't have to (since that can impact your overall pacing). We're told that from May 1 to May 30 in the same year, the balance in a checking account increased. We're asked for the balance in the checking account on May 30. This question is a great example of a 'concept' question, meaning that you don't have to do any actual math to solve it (as long as you recognize the concepts involved). 1) If, during this period of time, the increase in the balance in the checking account had been 12 percent, then the balance in the account on May 30 would have been$504

Fact 1 gives us a 'hypothetical' situation, that allows us to create the following equation:
(1.12)(May 1st balance) = \$504

We can use this information to figure out the initial balance on May 1st (it would be a number that we COULD calculate), but since we don't know that ACTUAL increase in the balance of the account, we cannot determine the total in the account on May 30th.
Fact 1 is INSUFFICIENT

2) During this period of time, the increase in the balance in the checking account was 8 percent.

Fact 2 gives us the (percent) increase in the balance of the account, but we still don't know the ending balance on May 30th.
Fact 2 is INSUFFICIENT

Combined, we know:
-The balance on May 1st
-The balance increased by 8% from May 1st to May 30th

With this information, we CAN calculate the balance on May 30th (but we don't actually have to do any of the individual math 'steps' to know that).

GMAT assassins aren't born, they're made,
Rich
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Re: From May 1 to May 30 in the same year, the balance in a   [#permalink] 15 Jun 2020, 12:21

# From May 1 to May 30 in the same year, the balance in a

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