Last visit was: 06 Oct 2024, 18:58 It is currently 06 Oct 2024, 18:58
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Joined: 15 Nov 2006
Affiliations: SPG
Posts: 232
Own Kudos [?]: 3259 [116]
Given Kudos: 34
Send PM
Most Helpful Reply
Math Expert
Joined: 02 Sep 2009
Posts: 95949
Own Kudos [?]: 665790 [38]
Given Kudos: 87512
Send PM
General Discussion
Joined: 15 Nov 2006
Affiliations: SPG
Posts: 232
Own Kudos [?]: 3259 [4]
Given Kudos: 34
Send PM
avatar
Joined: 04 Sep 2010
Posts: 12
Own Kudos [?]: 17 [0]
Given Kudos: 11
Send PM
Re: Mrs Lee [#permalink]
Though I understand above explanation , considering rest of Family income is fixed it is 64%

What is wrong with this method?
Equation1 ...............ML(May Lee) = 60/100 F (Family);
Equation 2 ................ JL(June Lee) = 120/100 ML
Substitute Equation1 in equation 2
JL = 120/100*(60/100*F)
JL = 72/100*F ... So JL is 72% of Family income
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 953
Own Kudos [?]: 5116 [1]
Given Kudos: 690
Concentration: Accounting
Send PM
Re: Mrs Lee [#permalink]
1
Bookmarks
prasforgmat
Though I understand above explanation , considering rest of Family income is fixed it is 64%

What is wrong with this method?
Equation1 ...............ML(May Lee) = 60/100 F (Family);
Equation 2 ................ JL(June Lee) = 120/100 ML
Substitute Equation1 in equation 2
JL = 120/100*(60/100*F)
JL = 72/100*F ... So JL is 72% of Family income


As lee is a family member so his portion is included in the total income.
User avatar
Joined: 01 Feb 2011
Posts: 304
Own Kudos [?]: 332 [0]
Given Kudos: 42
Send PM
Re: Mrs Lee [#permalink]
In May

Lee's income = (60/100)T where T is the family total income in may.

Rest of the family's income = (40/100)T

In June

Lee's income in june = (120/100) (60/100) T = (72/100)T
Rest of the family's income is same as their may's income = (40/100)T


so lee's income as a percentage of total family's income in June = 72/112 = 64%

Answer is A.
avatar
Joined: 12 Jun 2010
Status:MBA Aspirant
Posts: 78
Own Kudos [?]: 251 [4]
Given Kudos: 1
Location: India
Concentration: Finance, International Business
WE:Information Technology (Finance: Investment Banking)
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
3
Kudos
Ans is A
let total income is x so Mrs Lee income is 0.6x so rest of family income is 0.4x
mow her salary inc by 20% so it now becomes 0.72x but the remaining income remains 0.4x so now the total family income is 1.12x so 0.72x/1.12x
User avatar
Joined: 12 Apr 2011
Status:D-Day is on February 10th. and I am not stressed
Affiliations: American Management association, American Association of financial accountants
Posts: 117
Own Kudos [?]: 1975 [3]
Given Kudos: 52
Location: Kuwait
Concentration: finance and international business
Schools:Columbia university
 Q18  V17 GMAT 2: 320  Q18  V19 GMAT 3: 620  Q42  V33
GPA: 3.48
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
3
Kudos
I hate it when GMAT tricks us with questions.

I chose C :(
avatar
Joined: 14 Aug 2013
Posts: 2
Own Kudos [?]: [0]
Given Kudos: 0
Send PM
Simple Percents PS Question [#permalink]
Hi all. This question was one I got wrong on a practice test (which unfortunately doesn't give or explain the correct solution). I think I must just be looking at it the wrong way though it doesn't seem like a difficult question at all. Another point of view and explanation would be appreciated. Thanks!

In May Mrs. Lee's earnings were 60% of the Lee family's total income. (I wrote down 0.6x) In June Mrs. Lee earned 20% more than in May. ((1.2)(0.6x) maybe this is where I went wrong?) If the rest of the family's income was the same in both months, then what percent of the Lee family's total income did Mrs. Lee earn in June?

64% - 68% - 72% - 76% - 80%

My answer was 72% because (1.2(0.6x)) = .72x But I'm guessing now that I wrote it out wrong?
MBA Section Director
Joined: 22 Feb 2012
Affiliations: GMAT Club
Posts: 8835
Own Kudos [?]: 10372 [1]
Given Kudos: 4568
Test: Test
Send PM
Re: Simple Percents PS Question [#permalink]
1
Kudos
Expert Reply
JmSass217
Hi all. This question was one I got wrong on a practice test (which unfortunately doesn't give or explain the correct solution). I think I must just be looking at it the wrong way though it doesn't seem like a difficult question at all. Another point of view and explanation would be appreciated. Thanks!

In May Mrs. Lee's earnings were 60% of the Lee family's total income. (I wrote down 0.6x) In June Mrs. Lee earned 20% more than in May. ((1.2)(0.6x) maybe this is where I went wrong?) If the rest of the family's income was the same in both months, then what percent of the Lee family's total income did Mrs. Lee earn in June?

64% - 68% - 72% - 76% - 80%

My answer was 72% because (1.2(0.6x)) = .72x But I'm guessing now that I wrote it out wrong?

The only thing you did wrong is that while calculating Lee's new share you considered the same base i.e. x

Lee families income (May) = x
Lee's share in that (60%) = 0.6x
Lees' income in june = 0.72x
Lee families income (June) = 1.12x
Lee's new share = 64.28%

Or solve it with simple values

Lee families income (May) = 100
Lee's share in that (60%) = 60
Lees' income in june = 72
Lee families income (June) = 112
Lee's new share = 64.28%
Joined: 10 Mar 2013
Posts: 135
Own Kudos [?]: 500 [0]
Given Kudos: 2412
GMAT 1: 620 Q44 V31
GMAT 2: 610 Q47 V28
GMAT 3: 700 Q49 V36
GMAT 4: 690 Q48 V35
GMAT 5: 750 Q49 V42
GMAT 6: 730 Q50 V39
GPA: 3
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
This question is testing how carefully we can read the problem. Like many of you, I failed to do so and chose C until I carefully reread the problem and saw my error.

Sample numbers are good here.

In May
Family Income = 100
Lee = 60
Rest = 40

In June
Lee = 60*1.2=72
Rest (since it is unchanged) = 40
Family = 112

72/112=approx 64%

A
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19562
Own Kudos [?]: 23448 [0]
Given Kudos: 287
Location: United States (CA)
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
Expert Reply
dimitri92
In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?

(A) 64%
(B) 68%
(C) 72%
(D) 76%
(E) 80%


We can let 100 = the Lee family’s total income in May. Thus, Mrs. Lee made 60, and the rest of the family made 40. Since Mrs. Lee made 20% more in June than in May, she made 60 x 1.2 = 72 in June. Since the rest of the family still made 40, Mrs. Lee’s earnings were

72/(72 + 40) = 72/112 ≈ 0.64 = 64% of the family’s total income.

Answer: A
GMAT Club Legend
GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4896
Own Kudos [?]: 7969 [0]
Given Kudos: 221
Location: India
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
Top Contributor
Let the family earnings in May = $100

Mrs. Lee earned 60% of 100 = $60

The rest of the family earned 100 - 60 = $40


In June, Mrs. Lee earned 20% more = \(60 \space * \space \frac{120}{100} = $72\)

The rest of the family had no change in their earnings, and hence their earning was still $40.

Therefore, in June, the total Family's earnings was $112 of which Mrs. Lee earned $72


\(\frac{Percentage}{100} \space * \space Total = Portion\)

\(\frac{Percentage}{100} \space * \space 112 = 72\)

% = \(\frac{72}{112} \space * \space100 = 64.28 \space \approx 64\)%


Option A

Arun Kumar
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10129
Own Kudos [?]: 17451 [0]
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
Expert Reply
If we assume Lee's family income to be 100, then in May Lee earns 60, and the rest of the family earns 40.

In June, Lee earns 60 * \(\frac{120}{100}\) = 72 and rest of the family earns 40.

=> Mrs. Lee's earnings (72) were approximately what percent of the Lee family's total income ( 72 + 40 = 112)

=> 72 is what percent of 112

=> \(\frac{{72 * 100} }{ 112}\) ≈ 64

Answer A

Answer
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8079
Own Kudos [?]: 4369 [0]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy)
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
dimitri92
In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?

(A) 64%
(B) 68%
(C) 72%
(D) 76%
(E) 80%

let family salary be $100
so Mrs Lee salary ; $60
later she earns 20% more ; her salary becomes $72
and total family salary 112 $ due to Mrs Lee salary increae
% of Mrs Lee salary ; 72/112 ; ~ 64%
option A
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6037
Own Kudos [?]: 4859 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
dimitri92
In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?

(A) 64%
(B) 68%
(C) 72%
(D) 76%
(E) 80%
Total Family Income = 100 ; Lee's Salary in May = 60

Lee's Salary in June = 72 ; Total Family Income = 112

So, in June, Mrs Lee's earnings were 72/112*100 = 64% (appx) , ANswer must be (A)
Joined: 22 Mar 2020
Posts: 26
Own Kudos [?]: 1 [0]
Given Kudos: 71
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
I always end up making some silly mistakes on percent problems. Any ideas on how to improve that. I chose C here which is apparently wrong.
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 953
Own Kudos [?]: 5116 [0]
Given Kudos: 690
Concentration: Accounting
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
Top Contributor
Niha01
I always end up making some silly mistakes on percent problems. Any ideas on how to improve that. I chose C here which is apparently wrong.


In May, Family's income = 100
so, Lee's income = 60 (60%)
The Rest of the members' income of the family 40.

In June Lee's income 60*1.20= 72
Family's income (without Lee) = 40 (is same; as given in the question)
Now, Total income of the family in Jue 72+40 = 112 (as Lee is family member)

New Percentage = (72/112)*100 = 64.
Ans. A
Joined: 10 Jul 2019
Posts: 1374
Own Kudos [?]: 613 [0]
Given Kudos: 1658
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
In May:

If the Total family (of which Mrs. Lee is a part of) earned $100:

$60 was earned by Mrs Lee

$40 was earned by other family members


In June:

Mrs Lee earned 20% more———> $72

The rest of the family earned the same amount ———> $40
_________________________
Total Family Income = $112


In June, Mrs Lee’s earnings were what percent of the Total Family Income?

($72 / $112) * 100% =

(9 / 14) * 100% = (.64) * 100% =

64%

-A-

Posted from my mobile device
Joined: 16 Jun 2021
Posts: 969
Own Kudos [?]: 188 [0]
Given Kudos: 309
Send PM
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
dimitri92
In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?

(A) 64%
(B) 68%
(C) 72%
(D) 76%
(E) 80%

Intially the division is 60 , 40

Later on it becomes 72,40

When expressed in % becomes 64.28

THerefore IMO A
GMAT Club Bot
Re: In May Mrs Lee's earnings were 60 percent of the Lee family' [#permalink]
 1   2   
Moderator:
Math Expert
95949 posts