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Register now and save up to $200 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 • Free Trial & Practice Exam 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 ## GMAT Set 4 Q28 tagged by: Brent@GMATPrepNow This topic has 3 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 Elapsed Time: 00:00 • Lap #[LAPCOUNT] ([LAPTIME]) 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) Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums! ### GMAT/MBA Expert GMATGuruNY GMAT Instructor Joined 25 May 2010 Posted: 13352 messages Followed by: 1779 members Thanked: 12876 times 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.

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### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
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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

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### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
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Wed Feb 18, 2015 8:41 am
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