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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Mary's income is 60 percent more than Tim's income, and tagged by: VJesus12 ##### This topic has 3 expert replies and 0 member replies ## Mary's income is 60 percent more than Tim's income, and ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult 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% OA=C Source: Official Guide ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15344 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 Top Reply VJesus12 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% Let J=100. Since Tim's income is 40% less than Juan's, T = 100 - (40% of 100) = 100 - 40 = 60. Since Mary's income is 60% greater than Tim's, M = 60 + (60% of 60) = 60 + 36 = 96. What percent of Juan's income is Mary's income? M/J = 96/100 = 96%. The correct answer is C. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 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 GMAT Instructor Joined 08 Dec 2008 Posted: 12975 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 VJesus12 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% OA=C Source: Official Guide 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 =$100
40% of $100 =$40
This means Tim's income = $100 -$40 = $60 Mary's income is 60 percent more than Tim's income 60% of$60 = $36 So Mary's income =$60+ $36 =$96

What percent of Juan's income is Mary's income?
Juan's income = $100 Mary's income =$96

So, Mary's income is 96% of Juan's income

Cheers,
Brent

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VJesus12 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%

OA=C

Source: Official Guide
To solve this problem we create variables for the income of Mary, Tim, and Juan, and then set up some equations.

T = Timâ€™s income

M = Maryâ€™s income

J = Juanâ€™s income

We are given that Maryâ€™s income is 60% more than Timâ€™s. Thus, we can say:

M = 1.6T

We are also given that Timâ€™s income is 40% less than Juanâ€™s income. So we can say:

T = 0.6J

We are asked to determine the percent of Juanâ€™s income that Maryâ€™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 Maryâ€™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 Tâ€™s cancel and we have:

1.6 x 0.6 x 100%

0.96 x 100% = 96%

Alternate Solution:

Let Timâ€™s income be 100. Then Maryâ€™s income is 160 and Juanâ€™s income is 100/0.6 = 500/3 â‰ˆ 166.6. We see that Maryâ€™s income is just slightly less than Juanâ€™s income and eyeballing the answer choices, we notice that 96% is the only possible answer.

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scott@targettestprep.com

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