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Sue purchased several identical brooms at Gigamart. If Sue paid a total of $78.30, including 8 percent sales tax,

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Sue purchased several identical brooms at Gigamart. If Sue paid a total of $78.30, including 8 percent sales tax,

by Gmat_mission » Sun Apr 26, 2020 11:38 am

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Sue purchased several identical brooms at Gigamart. If Sue paid a total of $78.30, including 8 percent sales tax, for all of the brooms, what is the price of 1 broom, EXCLUDING sales tax?

(1) The sales tax on each broom was $1.16

(2) Sue bought 5 brooms at Gigamart.

[spoiler]OA=D[/spoiler]

Source: Magoosh
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Source: — Data Sufficiency |
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Re: Sue purchased several identical brooms at Gigamart. If Sue paid a total of $78.30, including 8 percent sales tax,

by deloitte247 » Thu Apr 30, 2020 8:24 am

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The sales price of all brooms = $78.30
Sales tax = 8%
Target question => what is the price of 1 broom excluding sales tax?

Statement 1 => The sales tax on each broom was $1.16
Let the price of 1 broom without tax = x
The total price of 1 broom = x + 8% of x
= x + 0.08x = 1.08x
Given that sales tax = $1.16
0.08x = $1.16
x = 1.16/0.08 = 14.5
Price of 1 broom excluding sales tax = $14.5
Statement 1 is SUFFICIENT

Statement 2 => Sue bought 5 brooms at Gigamart
Therefore, 5 brooms = $78.30
1 broom (with sales tax) = 78.30/5
= $15.66
Let price of 1 broom without tax = x
The total price of 1 broom = x + 8% of x
= x + 0.08x = 1.08x
$$Therefore,\$15.66=1.08x$$
$$x=\frac{15.66}{1.08}=14.5$$
Price of 1 broom excluding sales tax = $14.5

Since each statement alone are SUFFICIENT
Answer = D
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