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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 ## Official Guide PS #123 tagged by: Brent@GMATPrepNow ##### This topic has 2 expert replies and 3 member replies ## Official Guide PS #123 I wanted to see if somebody could tell me a different way to solve this problem. I thought I could do it without using an Algebra equation but maybe I am wrong. I spent a lot of time on this problem and thought I was doing the right thing by assigning Tim's income at$100 and finding out the other incomes but obviously my answer was not one of the choices. Looking for alternate explanations to this problem.

Junior | Next Rank: 30 Posts
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Here is the problem sorry I didnt post it before

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%

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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 = $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 Answer: C Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 13038 messages Followed by: 1251 members Upvotes: 5254 GMAT Score: 770 mcadorette 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% ASIDE: A lot of people incorrectly conclude that, if Tim's income is 40% less than Juan's, then Juan's income must be 40% more than Tim's. This incorrect conclusion can get students into trouble. Consider this scenario: Tim's income =$60
Juan's income = $100 As you can see, Tim's income is 40% less than Juan's income. However, Juan's income is not 40% more than Tim's. In fact, Juan's income is 66 2/3% more than Tim's. Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! Junior | Next Rank: 30 Posts Joined 28 Dec 2012 Posted: 10 messages Target GMAT Score: 700+ Thanks for the help Brent the wording is what got me. I have to realize that it is 40 percent less than and not of. When I look at the question again as well I should realize it uses the words is and of and 96 is 96% of Juan's income. I hope I can fix this problem in the future. Thanks again for the quick response. Master | Next Rank: 500 Posts Joined 11 Mar 2009 Posted: 359 messages Followed by: 2 members Upvotes: 50 Target GMAT Score: 900+ mcadorette wrote: Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income? A) 124% B) 120% C) 96% D) 80% E) 64% Let Juan's income is$ 100

Quote:
Tim's income is 40 percent less than Juan's income
Tim's income is 60

Quote:
Mary's income is 60 percent more than Tim's income
Mary's Income is 160 * 60 / 100 =>96

So the ratio of the income of the three people are as follows-

Mary : Tim : Juan = 96 : 60 : 100 => 24 : 15 : 25

Quote:
What percent of Juan's income is Mary's income?
Mary's Income / Juan's Income => 24/25 * 100 => 96%

_________________
Abhishek

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