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Bunuel
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The price of 15 purchased items was $316.80, including a 10 percent sa 16 Aug 2019, 01:24
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25% (medium)

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82% (02:03) correct 18% (02:29) wrong based on 125 sessions

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The price of 15 purchased items was $316.80, including a 10 percent sales tax. What was the average price per purchased item, EXCLUDING the tax?

A. $18.77
B. $19.20
C. $22.08
D. $22.40
E. $25.39
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B
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The price of 15 purchased items was $316.80, including a 10 percent sa 16 Aug 2019, 01:47
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Let’s say that the price of an item is x (excluding the tax)
—> 15(x+0.1x)=316.8
15*1.1*x=316.8
x=\(\frac{316.8}{15*1.1}\)=\(\frac{3168}{15*11}\)
(Divide both numerator and denominator by 11)

—> x=\(\frac{288}{15}\)=\(\frac{96}{5}\)=19.2
(We need the price of an item Excluding the sales tax)

The answer is B.

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The price of 15 purchased items was $316.80, including a 10 percent sa 16 Aug 2019, 02:45
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Total Price,p, of 15 items plus sales 10% sales Tax = 316.8
So 316.8 = 1.1p
p=316.8/1.1 = 3168/11 = 288
Price per item = 288/15 = 96/5 = 19.2

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The price of 15 purchased items was $316.80, including a 10 percent sa 16 Aug 2019, 03:11
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Total Price: $316.80, including a 10 percent sales tax
Price w/o tax(Assume X)=> 110% of X = 316.80 => X = 288

To find: average price per purchased item, EXCLUDING the tax.
X/total items
288/15 = $19.20 => Answer: Option B
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The price of 15 purchased items was $316.80, including a 10 percent sa 16 Aug 2019, 04:59
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Bunuel
The price of 15 purchased items was $316.80, including a 10 percent sales tax. What was the average price per purchased item, EXCLUDING the tax?

A. $18.77
B. $19.20
C. $22.08
D. $22.40
E. $25.39
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cost per item excludin tax ; 316.8/110 ; 288
avg cost per item ; 288/15 ; 19.2
IMO B
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The price of 15 purchased items was $316.80, including a 10 percent sa 16 Aug 2019, 11:00
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Bunuel
The price of 15 purchased items was $316.80, including a 10 percent sales tax. What was the average price per purchased item, EXCLUDING the tax?

A. $18.77
B. $19.20
C. $22.08
D. $22.40
E. $25.39
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\(\frac{316.8}{110}*\frac{100}{15} = 19.20\) , Answer must be (B)
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The price of 15 purchased items was $316.80, including a 10 percent sa 16 Aug 2019, 19:45
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Bunuel
The price of 15 purchased items was $316.80, including a 10 percent sales tax. What was the average price per purchased item, EXCLUDING the tax?

A. $18.77
B. $19.20
C. $22.08
D. $22.40
E. $25.39
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Price of 15 items excluding 10% tax = $316.8/1.1 = $288

Average price per item excluding tax = $288/15 = $19.2

IMO B

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The price of 15 purchased items was $316.80, including a 10 percent sa 18 Aug 2019, 18:56
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I’d like to offer a different solution using estimation. We can estimate the answer instead of trying to do any brutal calculations, the trick here is to identify whether we are underestimating or overestimating.

We can start by averaging first since 316.8 is very close to a multiple of 15, the average after tax is estimated to be 315/15 = 21. Note this is an underestimate. Then we can further estimate by subtracting 10% of 21. Note again this is underestimating the result since we’re supposed to find 100%x from 110%x = 21, yet we are subtracting 10% of 110% which gives us 99% only. Our underestimate is 21 - 2.1 = 18.9 and we should find the nearest answer above it.

Answer: B
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The price of 15 purchased items was $316.80, including a 10 percent sa 31 Aug 2024, 12:21
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