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Roselba’s annual income exceeds twice Jane’s annual income a

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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1664 [0], given: 396

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Roselba’s annual income exceeds twice Jane’s annual income a [#permalink] New post 10 Jun 2018, 03:54
Expert's post
00:00

Question Stats:

30% (01:08) correct 70% (00:50) wrong based on 10 sessions
Roselba’s annual income exceeds twice Jane’s annual income and both pay the same percent of their respective incomes in transportation fees.

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.
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1664 [0], given: 396

CAT Tests
Re: Roselba’s annual income exceeds twice Jane’s annual income a [#permalink] New post 13 Jun 2018, 16:33
Expert's post
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
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Sandy
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Re: Roselba’s annual income exceeds twice Jane’s annual income a [#permalink] New post 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
Re: Roselba’s annual income exceeds twice Jane’s annual income a   [#permalink] 13 Jun 2018, 17:42
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Roselba’s annual income exceeds twice Jane’s annual income a

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