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

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Joined: 20 May 2014
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The sum of the pre-tax costs of Item A and Item B is $300. [#permalink] New post 04 Dec 2017, 05:07
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0% (00:00) correct 100% (05:10) wrong based on 1 sessions
The sum of the pre-tax costs of Item A and Item B is $300. In Alumba, each item would be charged a fat 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?


[Reveal] Spoiler: OA
120


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Re: The sum of the pre-tax costs of Item A and Item B is $300. [#permalink] New post 04 Dec 2017, 13:50
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 fat 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?


[Reveal] Spoiler: OA
120




Here for Alumba = 7% of (A+B) = 7% (300) =21

and for Aplandia it is $3 more i.e = 21 + 3 = 24

Now as per ques -

In Aplandia
0.05 A + 0.1 B = 24

or 0.05A + 0.1 (300 - A) =24 (Since , A+B = 300)

or 0.05A = 6

or A = 120, which is the pre tax value
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Re: The sum of the pre-tax costs of Item A and Item B is $300.   [#permalink] 04 Dec 2017, 13:50
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The sum of the pre-tax costs of Item A and Item B is $300.

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