• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to $200 Available with Beat the GMAT members only code • Most awarded test prep in the world Now free for 30 days Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code ## GMAT Set 4 Q28 tagged by: Brent@GMATPrepNow This topic has 4 expert replies and 0 member replies Abhijit K Master | Next Rank: 500 Posts Joined 09 Feb 2015 Posted: 110 messages Followed by: 4 members #### GMAT Set 4 Q28 Wed Feb 18, 2015 1:04 am This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he was available to spend will be equal to half the amount that he spends this year? A.1/(r+2) B.1/(2r+2) C.1/(3r+2) D.1/(r+3) E.1/(2r+3) ### GMAT/MBA Expert Scott@TargetTestPrep GMAT Instructor Joined 25 Apr 2015 Posted: 781 messages Followed by: 3 members Upvotes: 43 Wed Jan 03, 2018 7:15 am Abhijit K wrote: This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he was available to spend will be equal to half the amount that he spends this year? A.1/(r+2) B.1/(2r+2) C.1/(3r+2) D.1/(r+3) E.1/(2r+3) We can let s = the amount of money, in dollars, Henry saves this year and t = his income, in dollars, this year; thus, the amount that he spends this year is (t - s). Since for each dollar that he saves this year he has 1 + r dollars available to spend next year, he has s(1 + r) dollars to spend next year. Furthermore, since this amount is half what he spends this year, we have: s(1 + r) = (1/2)(t - s) 2s(1 + r) = t - s 2s + 2sr = t - s 2sr + 3s = t s(2r + 3) = t s = t/(2r + 3) s = [1/(2r + 3)] * t So, the amount he saves this year is 1/(2r + 3) of his income. Answer: E _________________ Scott Woodbury-Stewart Founder and CEO ### GMAT/MBA Expert Brent@GMATPrepNow GMAT Instructor Joined 08 Dec 2008 Posted: 11278 messages Followed by: 1225 members Upvotes: 5254 GMAT Score: 770 Wed Feb 18, 2015 8:41 am _________________ Brent Hanneson â€“ Founder of GMATPrepNow.com Use our video course along with Check out the online reviews of our course Come see all of our 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 GMATGuruNY GMAT Instructor Joined 25 May 2010 Posted: 13906 messages Followed by: 1808 members Upvotes: 13060 GMAT Score: 790 Wed Feb 18, 2015 3:20 am Abhijit K wrote: This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he was available to spend will be equal to half the amount that he spends this year? A.1/(r+2) B.1/(2r+2) C.1/(3r+2) D.1/(r+3) E.1/(2r+3) Let r=2. Now let's plug in values that follow the words in the problem, step by step. For each dollar that Henry saves this year, he will have 1+r = 1+2 = 3 dollars available to spend [next year]: If he saves$1 this year, he can spend $3 next year. Next year the amount he has available to spend will be equal to half the amount that he spends this year: Since he has$3 to spend next year, he has $6 to spend this year. What fraction of his income should Henry save this year? Since he saves$1 and spends \$6, saved/total = 1/(1+6) = 1/7. This is our target.

Now we plug r=2 into the answers to see which yields our target of 1/7.

Only E works:
1/(2r+3) = 1/(2*2 + 3) = 1/7.

_________________
Mitch Hunt
GMAT Private Tutor
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.

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

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
Posted:
11278 messages
Followed by:
1225 members
5254
GMAT Score:
770
Wed Feb 18, 2015 8:32 am
This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he has available to spend will be equal to half the amount that he spends this year?

(A)1/(r+2)
(B)1/(2r+2)
(C)1/(3r+2)
(D)1/(r+3)
(E)1/(2r+3)
Mitch's input-output approach is the best (fastest) approach, but here's an algebraic solution as well:

Cheers,
Brent

_________________
Brent Hanneson â€“ Founder of GMATPrepNow.com
Use our video course along with

Check out the online reviews of our course
Come see all of our 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!

### Best Conversation Starters

1 lheiannie07 108 topics
2 ardz24 67 topics
3 Roland2rule 63 topics
4 LUANDATO 50 topics
5 swerve 43 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 GMATGuruNY

The Princeton Review Teacher

152 posts
2 Jeff@TargetTestPrep

Target Test Prep

106 posts
3 Rich.C@EMPOWERgma...

EMPOWERgmat

103 posts
4 Scott@TargetTestPrep

Target Test Prep

96 posts
5 Max@Math Revolution

Math Revolution

86 posts
See More Top Beat The GMAT Experts