November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. November 17, 2018 November 17, 2018 09:00 AM PST 11:00 AM PST Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50586

If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
30 Jul 2012, 01:23
Question Stats:
87% (01:07) correct 13% (01:22) wrong based on 1633 sessions
HideShow timer Statistics



Math Expert
Joined: 02 Sep 2009
Posts: 50586

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
30 Jul 2012, 01:23
SOLUTIONIf Pat saved $600 of his earnings last month, how much did Pat earn last month?Let E be Pat's earnings last month. (1) Pat spent 1/2 of his earnings last month for living expenses and saved 1/3 of the remainder. Pat spent \(\frac{E}{2}\), so \(E\frac{E}{2}=\frac{E}{2}\) remained. We are told that 1/3 of that amount, or \(\frac{E}{6}\), was saved. Since we know that Pat saved $600 of his earnings last month, then we have that \(\frac{E}{6}=600\) > \(E=3,600\). Sufficient. (2) Of his earnings last month, Pat paid twice as much in taxes as he saved. Since Pat saved $600 of his earnings last month, then he paid 2*$600=$1,200 in taxes. But this info is not sufficient to determine Pat's earnings last month. Answer: A.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 28 Sep 2011
Posts: 61
Location: United States
GMAT 1: 520 Q34 V27 GMAT 3: 690 Q47 V38
GPA: 3.01
WE: Information Technology (Commercial Banking)

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
30 Jul 2012, 19:41
I'm going to go with . He spent 1/2 of his earnings and he saved 1/3 of the remaining 1/2 > \(1/6E = 600\)



Intern
Joined: 26 Jun 2012
Posts: 4

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
31 Jul 2012, 01:32
The question asks us to find the Pat's earnings. Let us assume the Variable E for his earnings.
Statement (1): From the Information given we can set up the equation: (1/3) (E*(1/2))= 600. E can be calculated (E= 3600). > SUFFICIENT
Statement (2): This statement only tells us that the amount of tax he payed was twice the amount of money he saved. This information does not help us calculate Pat's earnings.> NOT SUFFICIENT
Ans(A).



Math Expert
Joined: 02 Sep 2009
Posts: 50586

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
03 Aug 2012, 05:24
SOLUTIONIf Pat saved $600 of his earnings last month, how much did Pat earn last month?Let E be Pat's earnings last month. (1) Pat spent 1/2 of his earnings last month for living expenses and saved 1/3 of the remainder. Pat spent \(\frac{E}{2}\), so \(E\frac{E}{2}=\frac{E}{2}\) remained. We are told that 1/3 of that amount, or \(\frac{E}{6}\), was saved. Since we know that Pat saved $600 of his earnings last month, then we have that \(\frac{E}{6}=600\) > \(E=3,600\). Sufficient. (2) Of his earnings last month, Pat paid twice as much in taxes as he saved. Since Pat saved $600 of his earnings last month, then he paid 2*$600=$1,200 in taxes. But this info is not sufficient to determine Pat's earnings last month. Answer: A.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 14 Dec 2011
Posts: 75

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
05 Oct 2012, 03:20
Hi Bunuel,
I was just researching on this question and got your explanation. I got why (A) is correct. But I didn't understand B. I thought (B) was also the correct answer, so eventually i selected D, which was incorrect.
So, here's my reasoning for (B). I want to know where i am going wrong.
Pat saved $600, and paid $1200 for taxes. If Earnings= Taxes + Savings, then Earnings= $1800.
Were there any expenses that i could have assumed in (B) ? Because in (A), the explanation says there were expenses, so (A) is clear.
Thanks & Regards Vinni



Math Expert
Joined: 02 Sep 2009
Posts: 50586

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
05 Oct 2012, 03:30
vinnik wrote: Hi Bunuel,
I was just researching on this question and got your explanation. I got why (A) is correct. But I didn't understand B. I thought (B) was also the correct answer, so eventually i selected D, which was incorrect.
So, here's my reasoning for (B). I want to know where i am going wrong.
Pat saved $600, and paid $1200 for taxes. If Earnings= Taxes + Savings, then Earnings= $1800.
Were there any expenses that i could have assumed in (B) ? Because in (A), the explanation says there were expenses, so (A) is clear.
Thanks & Regards Vinni (2) is not sufficient because we don't know how much of his earnings last month Pat spent for living expenses.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 14 Dec 2011
Posts: 75

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
05 Oct 2012, 03:49
Bunuel wrote: (2) is not sufficient because we don't know how much of his earnings last month Pat spent for living expenses.
Thanks Bunuel. Got your point Regards Vinni



Manager
Joined: 14 Dec 2011
Posts: 75

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
05 Oct 2012, 05:21
Bunuel, I got your point. But one more question. As it is a DS question, we are not given anything about expenses in B. So, why there is a need to assume living expenses.
Looking forward to your reply.
Regards Vinni



Math Expert
Joined: 02 Sep 2009
Posts: 50586

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
05 Oct 2012, 05:24



Manager
Joined: 14 Dec 2011
Posts: 75

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
05 Oct 2012, 05:47
Bunuel wrote: It's the other way around: if you are saying that (2) is sufficient, then you are assuming that there are no living expenses at all. Plus, assuming that is against common sense and the first statement. Hmm. okay. I got your point. Thanks Vinni



Intern
Joined: 15 Mar 2013
Posts: 20
Location: Canada
Concentration: International Business, Finance
WE: Information Technology (Consulting)

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
30 Oct 2013, 18:59
Bunuel wrote: SOLUTION
If Pat saved $600 of his earnings last month, how much did Pat earn last month?
Let E be Pat's earnings last month.
(1) Pat spent 1/2 of his earnings last month for living expenses and saved 1/3 of the remainder. Pat spent \(\frac{E}{2}\), so \(E\frac{E}{2}=\frac{E}{2}\) remained. We are told that 1/3 of that amount, or \(\frac{E}{6}\), was saved. Since we know that Pat saved $600 of his earnings last month, then we have that \(\frac{E}{6}=600\) > \(E=3,600\). Sufficient.
(2) Of his earnings last month, Pat paid twice as much in taxes as he saved. Since Pat saved $600 of his earnings last month, then he paid 2*$600=$1,200 in taxes. But this info is not sufficient to determine Pat's earnings last month.
Answer: A. Why are we assuming that their are no other expenses per month than living expenses? I got E simple because i told myself the following: Expenses (per month) = Living Expenses + Utility + mortgage + Car Lease...etc 1) only gave us the living expenses (i.e.: food and beverages???) Am I over assuming things?



Math Expert
Joined: 02 Sep 2009
Posts: 50586

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
31 Oct 2013, 00:34
PatrickS wrote: Bunuel wrote: SOLUTION
If Pat saved $600 of his earnings last month, how much did Pat earn last month?
Let E be Pat's earnings last month.
(1) Pat spent 1/2 of his earnings last month for living expenses and saved 1/3 of the remainder. Pat spent \(\frac{E}{2}\), so \(E\frac{E}{2}=\frac{E}{2}\) remained. We are told that 1/3 of that amount, or \(\frac{E}{6}\), was saved. Since we know that Pat saved $600 of his earnings last month, then we have that \(\frac{E}{6}=600\) > \(E=3,600\). Sufficient.
(2) Of his earnings last month, Pat paid twice as much in taxes as he saved. Since Pat saved $600 of his earnings last month, then he paid 2*$600=$1,200 in taxes. But this info is not sufficient to determine Pat's earnings last month.
Answer: A. Why are we assuming that their are no other expenses per month than living expenses? I got E simple because i told myself the following: Expenses (per month) = Living Expenses + Utility + mortgage + Car Lease...etc 1) only gave us the living expenses (i.e.: food and beverages???) Am I over assuming things? We are not assuming that. Stem says that Pat saved $600. Next, (1) says that Pat spent half of his earnings on something and saved 1/3 of the remainder (so Pat saved 1/3 of the remaining half of his earnings). This implies that 1/3*(earnings/2)=600 > earnings=3,600. Hope it's clear.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 15 Mar 2013
Posts: 20
Location: Canada
Concentration: International Business, Finance
WE: Information Technology (Consulting)

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
31 Oct 2013, 09:30
Thank you B, just another simple question that i over analyzed



Manager
Joined: 18 May 2014
Posts: 59
Location: United States
Concentration: General Management, Other
GMAT Date: 07312014
GPA: 3.99
WE: Analyst (Consulting)

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
18 May 2014, 09:54
(1) Savings = 1/3*(11/2)*Earnings = 600: Sufficient > We can solve for earnings
(2) Taxes = 2*Savings = 2*600 = 1200. We are not told how taxes or savings relate to earnings: Insufficient > There's no way to solve for earnings without a relationship.
Hence A.



Senior Manager
Joined: 23 Jun 2012
Posts: 386
Location: Pakistan
Concentration: Strategy, International Business
GPA: 3.76

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
03 Jun 2015, 02:25
very easy one 1/3 of 1/2 = 1/6x = 600 x = 3600 A is sufficient B only tells that taxes = 1200 but gives no clue about earnings so A it is
_________________
Push yourself again and again. Don't give an inch until the final buzzer sounds. Larry Bird Success isn't something that just happens  success is learned, success is practiced and then it is shared. Sparky Anderson S



Intern
Joined: 15 Mar 2015
Posts: 24

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
25 Jul 2015, 11:57
I am sorry to "reactivate" this old post, but I believe I am assuming things and I really shouldn't be:
On Statement 2: I assumed that Taxes (T) were his total expenses, so out of his Earnings (E), he would have Saved (S) $ 600. Since the T = 2S = 2.$600 = $ 1,200, with that in mind E  T = S, then E = S + T, then E = $600 + $ 1,200 = $ 1,800.
I believe I should NOT assume that Taxes are his total Expenses on Statement 2 since, it does not mention that ?



CEO
Joined: 20 Mar 2014
Posts: 2635
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
25 Jul 2015, 13:40
cfpenteado wrote: I am sorry to "reactivate" this old post, but I believe I am assuming things and I really shouldn't be:
On Statement 2: I assumed that Taxes (T) were his total expenses, so out of his Earnings (E), he would have Saved (S) $ 600. Since the T = 2S = 2.$600 = $ 1,200, with that in mind E  T = S, then E = S + T, then E = $600 + $ 1,200 = $ 1,800.
I believe I should NOT assume that Taxes are his total Expenses on Statement 2 since, it does not mention that ? Yes, exactly . Statement 2 does not provide you any information about living exp or any other expenses apart from the taxes. Statement 1 is straightforward as we dont have to worry about the actual division of his "expenditures". Earning = Savings + ExpensesRead Bunuel's replies above: ifpatsaved600ofhisearningslastmonthhowmuchdid136568.html#p1128207ifpatsaved600ofhisearningslastmonthhowmuchdid136568.html#p1128252ifpatsaved600ofhisearningslastmonthhowmuchdid136568.html#p1286244



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
22 Jul 2016, 11:17
Bunuel wrote: If Pat saved $600 of his earnings last month, how much did Pat earn last month?
(1) Pat spent 1/2 of his earnings last month for living expenses and saved 1/3 of the remainder. (2) Of his earnings last month, Pat paid twice as much in taxes as he saved. We are given that Pat saved $600 worth of his earnings, and we need to determine how much he earned last month. Statement One Alone:Pat spent 1/2 of his earnings last month for living expenses and saved 1/3 of the remainder. From the information in statement one, we can set up some variables and equations. We are given that Pat spent ½ of his earnings last month for living expenses. So if we let L = living expenses, and E = total money earned last month, we can say: ½(E) = L We are also given that Pat saved 1/3 of the remainder. Since we see that ½(E) went towards the living expenses, the remainder of that is E – ½(E) = ½(E). Remember, too, that we were initially told that Pat saved $600. Thus, we can say: 1/3[1/2(E)] = 600 1/6(E) = 600 E = 3,600 We see that Pat earned $3,600. Statement one is sufficient to answer the question. We can eliminate answer choices B, C, and E. Statement Two Alone:Of his earnings last month, Pat paid twice as much in taxes as he saved. From statement two we can set up an equation in which T = taxes paid by Pat last month. T = 2(600) T = 1,200 Although we know how much Pat paid in taxes last month, we do not know how much Pat earned. Statement two is not sufficient to answer the question. Answer: A
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Manager
Joined: 10 Sep 2014
Posts: 83

Re: If Pat saved $600 of his earnings last month, how much did
[#permalink]
Show Tags
18 Jul 2017, 02:37
Difficulty would not be 650 I presume.




Re: If Pat saved $600 of his earnings last month, how much did &nbs
[#permalink]
18 Jul 2017, 02:37



Go to page
1 2
Next
[ 21 posts ]



