Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1511:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!- Dec 17
09:00 AM PST
-10:00 AM PST
Join Manhattan Prep instructor Whitney Garner for a fun—and thorough—review of logic-based (non-math) problems, with a particular emphasis on Data Sufficiency and Two-Parts. - Dec 18
10:00 AM PST
-11:00 AM PST
Here is the essential guide to securing scholarships as an MBA student! In this video, we explore the various types of scholarships available, including need-based and merit-based options.
07 Jul 2022, 15:00
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (01:15) correct
19%
(01:43)
wrong
based on 36
sessions
History
Date
Time
Result
Not Attempted Yet
A process manager in a plant wishes to decrease the hours logged by his workforce by 20%, while still retaining the exact same production. If all of the workers in the workforce produce at the same constant rate, by what percent would the workforce need to increase its production?
A. 10%
B. 20%
C. 25%
D. 33 %
E. 50%
A. 10%
B. 20%
C. 25%
D. 33 %
E. 50%
07 Jul 2022, 23:42
Kudos
Bookmarks
Lets assume each worker logs 10 hours in one day and the factory has 10 units of production / hour.
Production per day = 10 * 10 = 100 units
Decrease in logged hours = 20%
New time = 8 hours
We want to maintain the same production
8 * x = 100
x = 12.5
Increase = 12.5 - 10.00 = 2.5
Percentage increase =\(\frac{2.5}{10} * 100 \) = 25%
Option C
Production per day = 10 * 10 = 100 units
Decrease in logged hours = 20%
New time = 8 hours
We want to maintain the same production
8 * x = 100
x = 12.5
Increase = 12.5 - 10.00 = 2.5
Percentage increase =\(\frac{2.5}{10} * 100 \) = 25%
Option C
08 Jul 2022, 02:31
Kudos
Bookmarks
Let the hours required to complete the production be h and the productivity be p.
Thus, production = h*p
If the number of hours is decreased by 20%, the number of working hours will be 0.8*h.
Let the increased productivity be x*p.
Since the production is same,
h*p = 0.8*h*x*p
x = 1/0.8 = 1.25.
Thus, the increase in productivity will be 25%.
The correct answer is C.
Thus, production = h*p
If the number of hours is decreased by 20%, the number of working hours will be 0.8*h.
Let the increased productivity be x*p.
Since the production is same,
h*p = 0.8*h*x*p
x = 1/0.8 = 1.25.
Thus, the increase in productivity will be 25%.
The correct answer is C.
