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

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
Vote for Target Test Prep, Newsweek Readers’ Choice Awards 2026
NEWSWEEK READERS’ CHOICE 2026

BIG NEWS! Target Test Prep has been nominated, and they’d love your vote!

TTP has worked incredibly hard to build the best test prep experience possible, and winning Newsweek’s 2026 Readers’ Choice Award for Best Test Prep would mean a lot to them. If TTP has helped you, they’d be incredibly grateful for your vote. You can vote once each day through September 9.

Vote for TTP
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Wine Problem

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Wed Jan 23, 2013 1:19 pm
Since 4/40 = 1/10, the volume of wine decreases by 1/10 each time 4 liters are drawn from the 40-liter cask.
To determine the resulting ratio of wine to water, plug in an easy value for the total volume.

Let the original volume of wine = 1000 liters.
Remaining amount of wine after the first drawing = 1000 - .1(1000) = 1000 - 100 = 900.
Remaining amount of wine after the second drawing = 900 - .1(900) = 900 - 90 = 810.
Remaining amount of wine after the third drawing = 810 - .1(810) = 810 - 81 = 729.
Resulting volume of water = 1000-729 = 271.
Wine : water = 729:271.

Wine/total = 729/1000.
Since the actual volume of the cask is 40 liters, the remaining amount of wine after the 3 drawings = (729/1000) * 40 = 29.6 liters.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 131
Joined: Tue Aug 30, 2011 4:50 amFollowed by: 6 members
Location: India
Thanked: 28 times

by vishugogo » Fri Jan 25, 2013 5:12 am
GMATGuruNY wrote:Since 4/40 = 1/10, the volume of wine decreases by 1/10 each time 4 liters are drawn from the 40-liter cask.
To determine the resulting ratio of wine to water, plug in an easy value for the total volume.

Let the original volume of wine = 1000 liters.
Remaining amount of wine after the first drawing = 1000 - .1(1000) = 1000 - 100 = 900.
Remaining amount of wine after the second drawing = 900 - .1(900) = 900 - 90 = 810.
Remaining amount of wine after the third drawing = 810 - .1(810) = 810 - 81 = 729.
Resulting volume of water = 1000-729 = 271.
Wine : water = 729:271.

Wine/total = 729/1000.
Since the actual volume of the cask is 40 liters, the remaining amount of wine after the 3 drawings = (729/1000) * 40 = 29.6 liters.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 447
Joined: Sun Apr 22, 2012 7:13 amFollowed by: 13 members
Thanked: 46 times
GMAT Score:700

by hemant_rajput » Sat Jan 26, 2013 10:34 am
GMATGuruNY wrote:Since 4/40 = 1/10, the volume of wine decreases by 1/10 each time 4 liters are drawn from the 40-liter cask.
To determine the resulting ratio of wine to water, plug in an easy value for the total volume.

Let the original volume of wine = 1000 liters.
Remaining amount of wine after the first drawing = 1000 - .1(1000) = 1000 - 100 = 900.
Remaining amount of wine after the second drawing = 900 - .1(900) = 900 - 90 = 810.
Remaining amount of wine after the third drawing = 810 - .1(810) = 810 - 81 = 729.
Resulting volume of water = 1000-729 = 271.
Wine : water = 729:271.

Wine/total = 729/1000.
Since the actual volume of the cask is 40 liters, the remaining amount of wine after the 3 drawings = (729/1000) * 40 = 29.6 liters.
Guru has already provide a detailed explanation for this kind of problem. So I'm going to show you a little trick to solve this quickly in exam.

just remember this formula:-

wine/(water + wine) =(1 - (b/a))^n

b = amount of wine replaced by water.
a = amount of wine initially.
n = no. of time the replacement process was repeated.


so now applying this method to the problem above.

[1 -(4/40)]^3 ==> [ 1 -(1/0)]^3 = [9/10]^3 = 729/1000.

a.
so final quantity of wine left (729/1000)*40.

b. 729/(1000-729) = 729/271
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1