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# The sum of the pre-tax costs of Item A and Item B is \$ 300. In Alumba

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Joined: 02 Sep 2009
Posts: 53005
The sum of the pre-tax costs of Item A and Item B is \$ 300. In Alumba  [#permalink]

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28 Jan 2019, 00:34
00:00

Difficulty:

25% (medium)

Question Stats:

75% (02:35) correct 25% (01:15) wrong based on 11 sessions

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The sum of the pre-tax costs of Item A and Item B is \$ 300. In Alumba, each item would be charged a flat 7%. In Aplandia, Item A is subject to 5% tax and Item B is subject to 10% tax. If the tax in Aplandia on the purchase of both items is exactly \$ 3 more than it is in Alumba, then what is the pre-tax price of Item A?

A. 75
B. 80
C. 100
D. 120
E. 125

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Re: The sum of the pre-tax costs of Item A and Item B is \$ 300. In Alumba  [#permalink]

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28 Jan 2019, 03:54
Bunuel wrote:
The sum of the pre-tax costs of Item A and Item B is \$ 300. In Alumba, each item would be charged a flat 7%. In Aplandia, Item A is subject to 5% tax and Item B is subject to 10% tax. If the tax in Aplandia on the purchase of both items is exactly \$ 3 more than it is in Alumba, then what is the pre-tax price of Item A?

A. 75
B. 80
C. 100
D. 120
E. 125

Alumba ; 300*1.07 = 321
x+y=300
Aplandia tax
1.05x+1.1y=321+3 = 324
solve for x& y
we get x = 120
IMO D
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Re: The sum of the pre-tax costs of Item A and Item B is \$ 300. In Alumba   [#permalink] 28 Jan 2019, 03:54
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