Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 172

Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
12 Dec 2012, 08:51
Question Stats:
81% (01:41) correct 19% (02:21) wrong based on 1302 sessions
HideShow timer Statistics
Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income? (A) 124% (B) 120% (C) 96% (D) 80% (E) 64%
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 64240

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
12 Dec 2012, 08:58
Walkabout wrote: Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
(A) 124% (B) 120% (C) 96% (D) 80% (E) 64% Juan's income = 100 (assume); Tim's income = 60 (40 percent less than Juan's income); Mary's income = 96 (60 percent more than Tim's income). Thus, Mary's income (96) is 96% of Juan's income (100). Answer: C.
_________________




Manager
Joined: 29 Mar 2010
Posts: 110
Location: United States
Concentration: Finance, International Business
GPA: 2.54
WE: Accounting (Hospitality and Tourism)

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
02 Jul 2013, 22:02
I am working on trying to nail down these questions. Is there a way to solve this problem by assuming that Mary's income is 160, which is 60% more than Juan's? Or does that just cause problems. Thanks, Hunter
_________________
4/28 GMATPrep 42Q 36V 640



Math Expert
Joined: 02 Sep 2009
Posts: 64240

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
02 Jul 2013, 22:19
hfbamafan wrote: Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
(A) 124% (B) 120% (C) 96% (D) 80% (E) 64%
I am working on trying to nail down these questions.
Is there a way to solve this problem by assuming that Mary's income is 160, which is 60% more than Juan's?
Or does that just cause problems.
Thanks, Hunter You can do this way, though the way proposed in my post is better: Mary's income = 160. Tim's income = 100; Juan's income = 100/0.6 = 500/3. (160)/(500/3)*100 = 480/500*100 =96%.\
_________________



Intern
Joined: 24 Jun 2013
Posts: 11

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
02 Jul 2013, 22:25
If Tim's income is 100 and Marys income is 160 Juan's income, J, can be found by dividing Tim's income by .6 100 = .6J J = 167
Mary's income as a percentage of Juan's is then 160/167 = .96 (you can just estimate the .96 by looking at the answer choices) (also Mr. Bunuels method is way better)



Manager
Joined: 29 Mar 2010
Posts: 110
Location: United States
Concentration: Finance, International Business
GPA: 2.54
WE: Accounting (Hospitality and Tourism)

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
02 Jul 2013, 23:47
Thanks alot. This problem area seems to be the hardest for me to think through logically. I need to work hard on word problems, even though I know that they are easy.
_________________
4/28 GMATPrep 42Q 36V 640



Intern
Joined: 02 Jan 2014
Posts: 9

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
13 Apr 2014, 13:21
Mary's income is 60 percent more than Tim's income: M = 1.6T Tim's income is 40 percent less than Juan's income: T = 0.6J To compare them, we will need to rationalise the ratio of the 3 individuals M : T : J
M : T : J => 1 : 1.6(1) : 0.6(1.6) = 1 : 1.6 : 0.96
Here we got the answer required: M:J = 1 : 0.96



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1709
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
21 Apr 2014, 23:10
Answer = (C) 96% Refer chart below: \(\frac{96}{100} * 100 = 96\)
Attachments
mary.jpg [ 14.21 KiB  Viewed 30801 times ]



Intern
Joined: 29 Oct 2014
Posts: 22

Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
07 Dec 2014, 22:56
Bunuel wrote: Walkabout wrote: Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
(A) 124% (B) 120% (C) 96% (D) 80% (E) 64% Juan's income = 100 (assume); Tim's income = 60 (40 percent less than Juan's income); Mary's income = 96 (60 percent more than Tim's income). Thus, Mary's income (96) is 96% of Juan's income (100). Answer: C. Hi Bunuel! Really hoping you can help me understand something. I can not for the life of me make this equation work by setting Tim 100. I read your other comment regarding this, but I saw you wrote: Mary's income = "100/0.6". May I ask why you divided 0.6 rather than multiplied? My quant is very weak so sorry if the answer is obvious. EDIT: I just ran into another question and made a similar mistake. Therefore I think my question needs to be when should I use "amount*0.%" vs "amount/1.%"?E.g why did you (and others here) go with "100/0.6" and not "100*0.60" since it says Tim's income is 60% of Juan's; And for this (similar) question ( thepriceoflunchfor15peoplewas207includinga68537.html) To get ride of the 15% around, why is 207=1.15x correct and not "207*.85"? Hope my question makes sense and makes in advance for your/anyone who can help.



Manager
Joined: 30 Dec 2015
Posts: 76
GPA: 3.92
WE: Engineering (Aerospace and Defense)

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
31 Jan 2016, 10:43
Given: M = 1.6 T = 8/5T; [how did i get 8/5? 60% = 3/5 & 160% = 1+(3/5) = 8/5] T = 0.6J = 3/5J; Substitute T: M = 8/5 * (3/5)J M = 24/25J; You can either calculate 24/25 (I wouldn't) or know that 24/25 is little less than 1 ~= 0.96 (the only answer choice which is little less than 1) Hence, M = 0.96J or 96%J OR M = 1.6 * 0.6*J = [(1+0.6)*(0.6)]J = [0.6 + 0.36]J = 0.96J
_________________
If you analyze enough data, you can predict the future.....its calculating probability, nothing more!



Director
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 773
Location: United States (CA)
Age: 40
GMAT 1: 770 Q47 V48 GMAT 2: 730 Q44 V47 GMAT 3: 750 Q50 V42
WE: Education (Education)

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
10 May 2016, 17:25
Attached is a visual that should help.
Attachments
Screen Shot 20160510 at 5.53.13 PM.png [ 59.67 KiB  Viewed 23376 times ]



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2800

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
11 May 2016, 06:32
Walkabout wrote: Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
(A) 124% (B) 120% (C) 96% (D) 80% (E) 64% Solution: To solve this problem we define variables for the incomes of Mary, Tim, and Juan, and then set up some equations. T = Tim’s income M = Mary’s income J = Juan’s income We are given that Mary’s income is 60% more than Tim’s. Thus, we can say: M = 1.6T We are also given that Tim’s income is 40% less than Juan’s income. So we can say: T = 0.6J We are asked to determine the percent of Juan’s income that Mary’s income is. For this we can set up the expression: M/J x 100% To complete this problem we must express Juan’s income and Mary’s income in terms of a common variable. That common variable is T. Thus, we have: M = 1.6T J = T/0.6 So finally we can substitute T/0.6 for J and 1.6T for M M/J x 100% (1.6T)/(T/0.6) x 100% (1.6T) x (0.6/T) x 100% The T’s cancel and we have: 1.6 x 0.6 x 100% 0.96 x 100% = 96% Answer: C
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews
If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2800

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
11 Jun 2016, 05:47
Walkabout wrote: Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
(A) 124% (B) 120% (C) 96% (D) 80% (E) 64% To solve this problem we create variables for the income of Mary, Tim, and Juan, and then set up some equations. T = Tim’s income M = Mary’s income J = Juan’s income We are given that Mary’s income is 60% more than Tim’s. Thus, we can say: M = 1.6T We are also given that Tim’s income is 40% less than Juan’s income. So we can say: T = 0.6J We are asked to determine the percent of Juan’s income that Mary’s income is. For this we can set up the expression: M/J x 100% To complete this problem we must express Juan's income and Mary’s income in terms of a common variable. That common variable is T. Thus, we have: M = 1.6T J = T/0.6 So finally we can substitute T/0.6 for J and 1.6T for M M/J x 100% (1.6T)/(T/0.6) x 100% (1.6T) x (0.6/T) x 100% The T’s cancel and we have: 1.6 x 0.6 x 100% 0.96 x 100% = 96% Answer C. For some students, an easier way to solve this is to use convenient numbers. If we "pretend" that Juan's income is J = $100, and Tim's income is 40% less than Juan's, then Tim's income is: 100 – (100)(.40) = $60. We also are told that Mary's income is 60% more than Tim's: 60 + (60)(.60) = 60 + 36 = $96. Now we can easily determine the percent of Juan's income that Mary's income represents: (96/100) x 100% = 96%.
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews
If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



Manager
Status: On a 600long battle
Joined: 21 Apr 2016
Posts: 134
Location: Hungary
Concentration: Accounting, Leadership
GMAT 1: 410 Q18 V27 GMAT 2: 490 Q35 V23

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
22 Jan 2017, 07:12
Walkabout wrote: Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
(A) 124% (B) 120% (C) 96% (D) 80% (E) 64% I solved it this way: Mary = M = 1.6T Tim = T = 0.6J Juan = J I translated the sentence " What percent of Juan's income is Mary's income" into: x/100 * (J) = M x/100 * (J) = 1.6T x/100 * (J) = 1.6 * (0.6J) x/100 = 0.96 x = 96%
_________________
"When the going gets tough, the tough gets going!"
Welcoming tips/suggestions/advices (you name it) to help me achieve a 600



Manager
Joined: 03 Jan 2017
Posts: 132

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
25 Mar 2017, 10:59
this one was tricky for me: answer is M/J
M=1,6*T T=0,6*J let's find J income: J=10/6*T T=10/16*M, J=(10*10)/(16*6)=25/24 1/(25/24)=24/25=96% Answer is C



Manager
Joined: 06 Dec 2016
Posts: 226

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
25 Mar 2017, 20:14
You could even do this approach:
M = 1.6T => equation 1 T = 0.6J => equation 2
Plug T = 0.6J into equation 1
M = 1.6(0.6J) M = 0.96 J
Answer: C



Intern
Joined: 30 Mar 2016
Posts: 36

Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
28 Apr 2017, 23:34
This is what I have been taught by Karishma: What comes after "THAN" is essentially important because it is the BASE.
Back to the question.
M is 60% more than T => T = BASE of M
T is 40% less than J => J = BASE of T
So, the FINAL BASE = J.
If you want to pick a smart number and do not know which one out of M, T, and J.
It's easiest to pick a smart number for the FINAL BASE = J.
So, Pick J =100, and the rest would be done according to Bunuel did.



Director
Joined: 04 Dec 2015
Posts: 725
Location: India
Concentration: Technology, Strategy
Schools: HEC Sept19 intake, ISB '19, Rotman '21, NUS '21, IIMA , IIMB, NTU '20, Bocconi '21, XLRI, Trinity MBA '20, Smurfit "21
WE: Information Technology (Consulting)

Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
17 May 2017, 13:13
Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income? (A) 124% (B) 120% (C) 96% (D) 80% (E) 64% Let Juan's income be = 100 Tim's income = 40% less than Juan's income = 60% of 100 = \(\frac{60}{100}\) x 100 = 60 Mary's income = 60% more than Tim's income = 160% of 60 = \(\frac{160}{100}\) x 60 = 96 Required percentage = Mary income/Juan's income = \(\frac{96}{100}\) = 96% Answer C...._________________ Kindly press "+1 Kudos" to appreciate



GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4878
Location: Canada

Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
Updated on: 04 May 2020, 14:39
Walkabout wrote: Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
(A) 124% (B) 120% (C) 96% (D) 80% (E) 64% I suggest that we choose some nice values that meet the given conditions. Tim's income is 40 percent less than Juan's income.Let Juan's income = $10040% of $100 = $40 This means Tim's income = $100  $40 = $60Mary's income is 60 percent more than Tim's income60% of $60 = $36 So Mary's income = $60+ $36 = $96What percent of Juan's income is Mary's income? Juan's income = $100Mary's income = $96So, Mary's income is 96% of Juan's income Answer: C
_________________
Test confidently with gmatprepnow.com



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 16738
Location: United States (CA)

Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
Show Tags
21 Feb 2018, 19:31
Hi All, Brent has provided an explanation that focuses on TESTing Values; I'm a big fan of this approach and I highly recommend it. As an alternative, here's the algebra approach: We'll need to translate the "math phrases" into actual equations. "Mary's income is 60% more than Tim's income" M = 1.6T "Tim's income is 40% less than Juan's income" T = .6J "What percent of Juan's income is Mary's income?" We already have a value for M (above); now we need to take the second equation and solve for J… T = .6J T = 3J/5 5T/3 = J We're asked for the value of M/J…. M = 1.6T J = 1.666T 1.6T/1.666T = 1.6/1.666 = a little less than 1 = a little less than 100% The only answer that's close is answer GMAT assassins aren't born, they're made, Rich
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★




Re: Mary's income is 60 percent more than Tim's income, and Tim'
[#permalink]
21 Feb 2018, 19:31



Go to page
1 2
Next
[ 24 posts ]

