• EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep

Percentage of income

This topic has 6 expert replies and 0 member replies
GmatGreen Senior | Next Rank: 100 Posts Default Avatar
Joined
31 Mar 2009
Posted:
85 messages

Percentage of income

Post Thu Feb 13, 2014 10:46 am
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%

  • +1 Upvote Post
  • Quote
  • Flag
Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
Top Reply
Post Mon Jun 29, 2015 7:19 am
GmatGreen 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%
Alternate approach:

Ratios can be MULTIPLIED TOGETHER:
M/J = M/T * T/J.
In the equation above, the values in red CANCEL OUT.

Mary's income is 60 percent more than Tim's income.
Thus:
M/T = 160/100 = 8/5.

Tim's income is 40 percent less than Juan's income.
Thus:
T/J = 60/100.

Since M/J = M/T * T/J, we get:
M/J = 8/5 * 60/100 = 8/1 * 12/100 = 96/100 = 96%.

The correct answer is C.

_________________
Mitch Hunt
GMAT Private Tutor
GMATGuruNY@gmail.com
If you find one of my posts helpful, please take a moment to click on the "Thank" icon.
Available for tutoring in NYC and long-distance.
For more information, please email me at GMATGuruNY@gmail.com.

  • +1 Upvote Post
  • Quote
  • Flag
Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.

GMAT/MBA Expert

Matt@VeritasPrep GMAT Instructor
Joined
12 Sep 2012
Posted:
2640 messages
Followed by:
113 members
Upvotes:
625
Target GMAT Score:
V51
GMAT Score:
780
Most Active Expert Most Responsive Expert Most Thanked Expert
Top Reply
Post Mon Jun 29, 2015 3:28 pm
Algebra works too:

M = T + .6T = 1.6T
T = J - .4J = .6J

So M = 1.6T = 1.6(*6J) = .96J

and we're done!

  • +1 Upvote Post
  • Quote
  • Flag
Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!
Post Mon Jun 29, 2015 7:19 am
GmatGreen 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%
Alternate approach:

Ratios can be MULTIPLIED TOGETHER:
M/J = M/T * T/J.
In the equation above, the values in red CANCEL OUT.

Mary's income is 60 percent more than Tim's income.
Thus:
M/T = 160/100 = 8/5.

Tim's income is 40 percent less than Juan's income.
Thus:
T/J = 60/100.

Since M/J = M/T * T/J, we get:
M/J = 8/5 * 60/100 = 8/1 * 12/100 = 96/100 = 96%.

The correct answer is C.

_________________
Mitch Hunt
GMAT Private Tutor
GMATGuruNY@gmail.com
If you find one of my posts helpful, please take a moment to click on the "Thank" icon.
Available for tutoring in NYC and long-distance.
For more information, please email me at GMATGuruNY@gmail.com.

  • +1 Upvote Post
  • Quote
  • Flag
Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.

GMAT/MBA Expert

Matt@VeritasPrep GMAT Instructor
Joined
12 Sep 2012
Posted:
2640 messages
Followed by:
113 members
Upvotes:
625
Target GMAT Score:
V51
GMAT Score:
780
Most Active Expert Most Responsive Expert Most Thanked Expert
Post Mon Jun 29, 2015 3:28 pm
Algebra works too:

M = T + .6T = 1.6T
T = J - .4J = .6J

So M = 1.6T = 1.6(*6J) = .96J

and we're done!

  • +1 Upvote Post
  • Quote
  • Flag
Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

GMAT/MBA Expert

Post Mon Jun 29, 2015 7:06 am
GmatGreen 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

_________________

Scott Woodbury Stewart Founder & CEO
GMAT Quant Self-Study Course - 500+ lessons 3000+ practice problems 800+ HD solutions
5-Day Free Trial 5-DAY FREE, FULL-ACCESS TRIAL TTP QUANT

  • +1 Upvote Post
  • Quote
  • Flag
Post Thu Feb 13, 2014 11:52 am
Hi GmatGreen,

Both Brent and Patrick have 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

The only answer that's close is answer C

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

  • +1 Upvote Post
  • Quote
  • Flag

Best Conversation Starters

1 lheiannie07 112 topics
2 swerve 64 topics
3 LUANDATO 64 topics
4 ardz24 61 topics
5 AAPL 57 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 image description Scott@TargetTestPrep

Target Test Prep

227 posts
2 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

176 posts
3 image description Jeff@TargetTestPrep

Target Test Prep

168 posts
4 image description Rich.C@EMPOWERgma...

EMPOWERgmat

138 posts
5 image description GMATGuruNY

The Princeton Review Teacher

129 posts
See More Top Beat The GMAT Experts