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During the first week in May, a shoe retailer sold 12 pairs of shoes

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During the first week in May, a shoe retailer sold 12 pairs of shoes [#permalink]

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New post 25 Dec 2017, 01:34
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During the first week in May, a shoe retailer sold 12 pairs of shoes for average (arithmetic mean) of x dollars per pair. During the next week, the retailer sold 15 pairs at an average of $20 less than the week before. What is the difference in total revenue from the first week to the second week in terms of x?

A. 100 – x
B. 200 – 2x
C. 240 – 2x
D. 270 – x
E. 300 – 3x

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Re: During the first week in May, a shoe retailer sold 12 pairs of shoes [#permalink]

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New post 25 Dec 2017, 10:20
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Average price of 12 pairs for first week = x $
Total revenue from first week = 12x $
Average price of 15 pairs for second week = (x-20) $
Total revenue from second week = 15(x-20) $
Difference b/w first week revenue and second week = 12x - 15(x-20) = 300-3x
Answer: E
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Re: During the first week in May, a shoe retailer sold 12 pairs of shoes [#permalink]

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New post 25 Dec 2017, 17:31
Bunuel wrote:
During the first week in May, a shoe retailer sold 12 pairs of shoes for average (arithmetic mean) of x dollars per pair. During the next week, the retailer sold 15 pairs at an average of $20 less than the week before. What is the difference in total revenue from the first week to the second week in terms of x?

A. 100 – x
B. 200 – 2x
C. 240 – 2x
D. 270 – x
E. 300 – 3x


\(Revenue=Quantity*AveragePrice\)

Week 1: \(Revenue=Quantity*AveragePrice=12*x=12x\)
Week 2: \(Revenue=Quantity*AveragePrice=15*(x-20)=15x-300\)

Difference between Week 1 and Week 2: \(12x-(15x-300)=12x-15x+300=-3x+300=300-3x\)

(E) is the answer.
Re: During the first week in May, a shoe retailer sold 12 pairs of shoes   [#permalink] 25 Dec 2017, 17:31
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