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Ann earned a 25% raise to bring her salary to $20,000. Bob received a
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11 Jun 2021, 06:18
11 Jun 2021, 06:18
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Ann earned a 25% raise to bring her salary to $20,000.
Bob received a 20% decrease in salary to bring his salary to $20,000.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Bob received a 20% decrease in salary to bring his salary to $20,000.
Quantity A |
Quantity B |
The difference between Bob and Ann’s salaries before these changes were made |
$9,000 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Ann earned a 25% raise to bring her salary to $20,000. Bob received a
[#permalink]
11 Jun 2021, 21:23
11 Jun 2021, 21:23
1
Quantity A
The difference between Bob and Ann’s salaries before these changes were made
So, we need to find out original salaries of Bob and Ann
Ann earned a 25% raise to bring her salary to $20,000
Let Original salary of Ann is A, so her salary after 25% raise will be
A + A*25% = A(1+25%) = A(1 + 0.25) = 1.25A = $20,000
=> A = \(\frac{$20,000}{1.25}\)
=> A = $16,000
Bob received a 20% decrease in salary to bring his salary to $20,000
Let Original Salary of Bob is B, so his salary after 20% decrease will be
B - B*20% = B(1 - 20%) = B(1 - 0.2) = 0.8B = $20000
=> B = \(\frac{$20,000}{0.8}\) = 25,000
Ann earned a 25% raise to bring her salary to $20,000.
Bob received a 20% decrease in salary to bring his salary to $20,000.
=> The difference between Bob and Ann’s salaries before these changes were made = B - A = $25000 - $16000 = $9000
=> Quantity A = Quantity B = $9000
So, answer will be C
Hope it helps!
The difference between Bob and Ann’s salaries before these changes were made
So, we need to find out original salaries of Bob and Ann
Ann earned a 25% raise to bring her salary to $20,000
Let Original salary of Ann is A, so her salary after 25% raise will be
A + A*25% = A(1+25%) = A(1 + 0.25) = 1.25A = $20,000
=> A = \(\frac{$20,000}{1.25}\)
=> A = $16,000
Bob received a 20% decrease in salary to bring his salary to $20,000
Let Original Salary of Bob is B, so his salary after 20% decrease will be
B - B*20% = B(1 - 20%) = B(1 - 0.2) = 0.8B = $20000
=> B = \(\frac{$20,000}{0.8}\) = 25,000
Ann earned a 25% raise to bring her salary to $20,000.
Bob received a 20% decrease in salary to bring his salary to $20,000.
=> The difference between Bob and Ann’s salaries before these changes were made = B - A = $25000 - $16000 = $9000
=> Quantity A = Quantity B = $9000
So, answer will be C
Hope it helps!
General Discussion
Re: Ann earned a 25% raise to bring her salary to $20,000. Bob received a
[#permalink]
11 Jun 2021, 09:19
11 Jun 2021, 09:19
1
Ann with 25% increase salary = 20000
Actual salary = \(\frac{20000}{1.25}\) = \(16000\)
Bob with 20% decrease, salary = 20000
Actual salary = \(\frac{20000}{0.80}\) = \(25000\)
Qt A = 9000
Qt A = Qt B
Answer C
Actual salary = \(\frac{20000}{1.25}\) = \(16000\)
Bob with 20% decrease, salary = 20000
Actual salary = \(\frac{20000}{0.80}\) = \(25000\)
Qt A = 9000
Qt A = Qt B
Answer C
