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Roselba’s annual income exceeds twice Jane’s annual income a
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10 Jun 2018, 03:54
10 Jun 2018, 03:54
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Expert Reply
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Question Stats:
50% (01:14) correct
50% (01:15) wrong based on 144 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.
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
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
