BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Word Problem - Henry's income

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 14
Joined: Sun Aug 23, 2009 8:09 am
Thanked: 1 times
by Resurgent » Thu Oct 22, 2009 12:34 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)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 399
Joined: Wed Apr 15, 2009 3:48 am
Location: india
Thanked: 39 times

by xcusemeplz2009 » Thu Oct 22, 2009 12:51 am
IMO E

let i be the income ans s be the saving

s(1+r)=1/2*(i-s);(i-s) is the spending
solving s=i/(3+2r)

i.e 1/(3+2r) fraction of income

OA pls
It does not matter how many times you get knocked down , but how many times you get up
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Community Manager
Posts: 1537
Joined: Mon Aug 10, 2009 6:10 pmFollowed by: 252 members
Thanked: 653 times

by papgust » Thu Oct 22, 2009 1:44 am
xcusemeplz2009 wrote: (1+r)=1/2*(i-s);(i-s) is the spending
solving s=i/(3+2r)
Can you show how you are solving for s? Somehow i'm not able to get it
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 399
Joined: Wed Apr 15, 2009 3:48 am
Location: india
Thanked: 39 times

by xcusemeplz2009 » Thu Oct 22, 2009 1:48 am
papgust wrote:
xcusemeplz2009 wrote: (1+r)=1/2*(i-s);(i-s) is the spending
solving s=i/(3+2r)
Can you show how you are solving for s? Somehow i'm not able to get it
my approach is
s*(1+r)=1/2*(i-s)
s+sr=1/2*(i-s)
2s+2sr=i-s
3s+2sr=i
s(3+2r)=i
s=i/(3+2r)=>s is 1/(3+2r) fraction of i

HTH
It does not matter how many times you get knocked down , but how many times you get up
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 36
Joined: Fri Aug 28, 2009 2:40 am
Location: Singapore
Thanked: 11 times

by uttam.albela » Thu Oct 22, 2009 1:59 am
Assume salary this year = x
Saving this year = s
Expenditure this year = x-s

Expenditure next year = s*(1+r)
(Since 1 saving last year = 1+r expenditure this year
s saving last year= s*(1+r) expenditure this year)

Now what we have to find: saving last year / salary last year
s/x = ?

Given:

s*(1+r) = (x-s)/2
2s*(1+r)= x-s
2s+2sr=x-s
3s+2sr=x
s(3+2r)=x
s/x=1/(3+2r) Answer

let me know if this is not clear to you
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 14
Joined: Sun Aug 23, 2009 8:09 am
Thanked: 1 times

by Resurgent » Mon Nov 02, 2009 11:04 pm
The OA is E
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1