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Retired Moderator
Joined: 07 Jun 2014
Posts: 4806
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Roselba’s annual income exceeds twice Jane’s annual income a
[#permalink]
10 Jun 2018, 03:54
10 Jun 2018, 03:54
1
Expert Reply
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Question Stats:
45% (00:57) correct
54% (01:03) wrong based on 87 sessions
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Roselba’s annual income exceeds twice Jane’s annual income and both pay the same percent of their respective incomes in transportation fees.
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.
_________________
Quantity A |
Quantity B |
The annual amount Jane pays in transportation fees |
Half the annual amount Roselba pays in transportation fees |
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.
_________________
Sandy
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Retired Moderator
Joined: 07 Jun 2014
Posts: 4806
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Re: Roselba’s annual income exceeds twice Jane’s annual income a
[#permalink]
13 Jun 2018, 16:33
13 Jun 2018, 16:33
1
Expert Reply
Explanation
Roselba’s income is more than twice as great as Jane’s income. If both pay the same percent of income in transportation fees, that means Roselba must pay more than twice as much as Jane in transportation fees. Quantity B is greater.
Alternatively, use smart numbers. Call Jane’s income $100. Roselba’s income, then, is greater than $200. If both pay 10% in transportation fees, then Jane pays $10 and Roselba pays more than $20.
Half of Roselba’s amount equals more than $10.
Hence B
_________________
Roselba’s income is more than twice as great as Jane’s income. If both pay the same percent of income in transportation fees, that means Roselba must pay more than twice as much as Jane in transportation fees. Quantity B is greater.
Alternatively, use smart numbers. Call Jane’s income $100. Roselba’s income, then, is greater than $200. If both pay 10% in transportation fees, then Jane pays $10 and Roselba pays more than $20.
Half of Roselba’s amount equals more than $10.
Hence B
_________________
Sandy
If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test
If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test
Re: Roselba’s annual income exceeds twice Jane’s annual income a
[#permalink]
13 Jun 2018, 17:42
13 Jun 2018, 17:42
R > 2J. Same %fee = r
We also have R/2 > J
Quantity A = J*r
Quantity B = 1/2*R*r > J*r = A
--> A < B
--> B
We also have R/2 > J
Quantity A = J*r
Quantity B = 1/2*R*r > J*r = A
--> A < B
--> B
Re: Roselba’s annual income exceeds twice Jane’s annual income a
[#permalink]
10 Jan 2021, 23:02
10 Jan 2021, 23:02
Simply take values of J & R as 100 & 300 since its given value of R is more than twice J.
Now take 10 percent of both, since taking 10% is very easy. We find that R-30/2=15>J-10
Hence Qb>Qa
Now take 10 percent of both, since taking 10% is very easy. We find that R-30/2=15>J-10
Hence Qb>Qa
Re: Roselbas annual income exceeds twice Janes annual income a
[#permalink]
20 Dec 2022, 19:23
20 Dec 2022, 19:23
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