GMAT Exam > GMAT Questions > At a local appliance manufacturing facility, ...
Start Learning for Free
At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
- a)83%
- b)80%
- c)20%
- d)17%
- e)12%
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
At a local appliance manufacturing facility, the workers received a 20...
Solution:
Let's assume that the worker initially earned x dollars per hour, and worked y hours. Therefore, his initial pay was xy dollars.
After the 20% hourly pay raise, his new hourly wage becomes 1.2x dollars per hour. If he works the same number of hours as before, his new pay would be 1.2xy dollars.
Since he wants to maintain his initial pay, he needs to work fewer hours. Let's call the new number of hours he works z. Therefore, his new pay would be (1.2x)z dollars.
We can set up an equation to solve for z:
xy = (1.2x)z
Simplifying this equation, we get:
y = 1.2z
Therefore, he needs to work 83.33% of his original hours to maintain his initial pay.
To calculate the percent reduction in hours, we can subtract this value from 100%:
100% - 83.33% = 16.67%
Rounding this to the nearest percent gives us 17%, which is answer choice (D).
Let's assume that the worker initially earned x dollars per hour, and worked y hours. Therefore, his initial pay was xy dollars.
After the 20% hourly pay raise, his new hourly wage becomes 1.2x dollars per hour. If he works the same number of hours as before, his new pay would be 1.2xy dollars.
Since he wants to maintain his initial pay, he needs to work fewer hours. Let's call the new number of hours he works z. Therefore, his new pay would be (1.2x)z dollars.
We can set up an equation to solve for z:
xy = (1.2x)z
Simplifying this equation, we get:
y = 1.2z
Therefore, he needs to work 83.33% of his original hours to maintain his initial pay.
To calculate the percent reduction in hours, we can subtract this value from 100%:
100% - 83.33% = 16.67%
Rounding this to the nearest percent gives us 17%, which is answer choice (D).
Free Test
FREE
| Start Free Test |
Community Answer
At a local appliance manufacturing facility, the workers received a 20...
This question can be solved using either real numbers or algebra.
Method 1: Use Real Numbers.
Assume that the worker in question, call him John, earned $50 by working 10 hours for $5 per hour.
After the pay-raise, the total amount earned will be the same at $50, but the hourly rate will increase by 20% to $5(1.2) = $6 per hour.
Using the intuition that salary=(hours)(wage), you can find that $50=(hours)($6) and therefore the number of hours worked after the change in pay will equal (50/6) = 8.33 hours
Since John worked 10 hours before the change in wage and he now works 8.33 hours, John reduced the number of hours he worked by (10-8.33)/10 = .1666666% = 17%
Note: It does not matter what numbers you use, as long as the original pay equals the post wage-change pay and the wage is increased by 20%.
Method 2: Use Algebra.
Assign variables to pieces of the problem:
Let p = the percentage of old hours worked after the raise
if p = 95%, the worker labors 95% of the old hours after the raise (i.e., 5% fewer hours after the raise)
Let r = hourly rate that employees were paid before the raise
Let R = hourly rate that employees were paid after the raise
Let n = number of hours worked before pay-raise
Let N = number of hours worked after pay-raise
We know that the total pay before and after the pay-raise equal each other. The pay before was based on the rate r with hours n while the pay afterwards was based on rate R and hours N:
rn = RN
The rate after the raise was 20% more than the rate before the raise:
R = 1.20r
Plug this value into the equation for R:
rn = RN
rn = 1.20rN
We are looking for the percentage of hours worked after the raise, so substitute N in terms of n and percent p.
N = pn; the new number of hours equals the old number of hours multiplied by the percent of old hours worked after the raise
rn = (1.2r)(pn).
Divide both sides by r and n:
1 = 1.2p
Divide by 1.2 to solve for p:
p = 1/1.2 = 10/12 = 5/6 = .8333 = 83.33%.
Be careful: the question asks what percent the worker would reduce his hours, so subtract from 100% to yield 16.66%, or 17%. The correct answer is D.
Method 1: Use Real Numbers.
Assume that the worker in question, call him John, earned $50 by working 10 hours for $5 per hour.
After the pay-raise, the total amount earned will be the same at $50, but the hourly rate will increase by 20% to $5(1.2) = $6 per hour.
Using the intuition that salary=(hours)(wage), you can find that $50=(hours)($6) and therefore the number of hours worked after the change in pay will equal (50/6) = 8.33 hours
Since John worked 10 hours before the change in wage and he now works 8.33 hours, John reduced the number of hours he worked by (10-8.33)/10 = .1666666% = 17%
Note: It does not matter what numbers you use, as long as the original pay equals the post wage-change pay and the wage is increased by 20%.
Method 2: Use Algebra.
Assign variables to pieces of the problem:
Let p = the percentage of old hours worked after the raise
if p = 95%, the worker labors 95% of the old hours after the raise (i.e., 5% fewer hours after the raise)
Let r = hourly rate that employees were paid before the raise
Let R = hourly rate that employees were paid after the raise
Let n = number of hours worked before pay-raise
Let N = number of hours worked after pay-raise
We know that the total pay before and after the pay-raise equal each other. The pay before was based on the rate r with hours n while the pay afterwards was based on rate R and hours N:
rn = RN
The rate after the raise was 20% more than the rate before the raise:
R = 1.20r
Plug this value into the equation for R:
rn = RN
rn = 1.20rN
We are looking for the percentage of hours worked after the raise, so substitute N in terms of n and percent p.
N = pn; the new number of hours equals the old number of hours multiplied by the percent of old hours worked after the raise
rn = (1.2r)(pn).
Divide both sides by r and n:
1 = 1.2p
Divide by 1.2 to solve for p:
p = 1/1.2 = 10/12 = 5/6 = .8333 = 83.33%.
Be careful: the question asks what percent the worker would reduce his hours, so subtract from 100% to yield 16.66%, or 17%. The correct answer is D.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer?
Question Description
At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer?.
At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer?.
Solutions for At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer?, a detailed solution for At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice At a local appliance manufacturing facility, the workers received a 20% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?a)83%b)80%c)20%d)17%e) 12%Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup