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During the first week of September, a shoe retailer sold 10 pairs of a

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During the first week of September, a shoe retailer sold 10 pairs of a  [#permalink]

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New post 21 May 2017, 02:04
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During the first week of September, a shoe retailer sold 10 pairs of a certain style of oxfords at $ 35 a pair. If, during the second week of September, 15 pairs were sold at the sale price of $ 27.50 a pair, by what amount did the revenue from weekly sales of these oxfords increase during the second week?


A) $ 62.50
B) $ 75.00
C) $ 112.50
D) $ 137.50
E) $ 175.00

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During the first week of September, a shoe retailer sold 10 pairs of a  [#permalink]

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New post 21 May 2017, 02:40
During the first week of September, a shoe retailer sold 10 pairs of a certain style of oxfords at $ 35 a pair. If, during the second week of September, 15 pairs were sold at the sale price of $ 27.50 a pair, by what amount did the revenue from weekly sales of these oxfords increase during the second week?

During the first week
Amount made by selling 10 pairs of shoes at 35$ a piece is 350$

During the second week
Since he sold 15 shoes at a sale price of $27.50, he will make a loss of 7.50$ each on the first 10 shoes.
This amounts to a total loss of 75$ on the first 10 pairs of shoes.
The remaining shoes he sells at 27.5$ is pure profit. This amounts to 137.50$.
Net increase in sales = (S.P)Profit of last 5 shoes - Loss of first 10 shoes = 137.50$ - 75$ = 62.5$(Option A)
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Re: During the first week of September, a shoe retailer sold 10 pairs of a  [#permalink]

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New post 21 May 2017, 04:51
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carcass wrote:
During the first week of September, a shoe retailer sold 10 pairs of a certain style of oxfords at $ 35 a pair. If, during the second week of September, 15 pairs were sold at the sale price of $ 27.50 a pair, by what amount did the revenue from weekly sales of these oxfords increase during the second week?


A) $ 62.50
B) $ 75.00
C) $ 112.50
D) $ 137.50
E) $ 175.00


10 pairs @35 = 350
15 pairs @27.5 = 412.5

Increase = 412.5 - 350 = 62.5

Answer: Option A
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Re: During the first week of September, a shoe retailer sold 10 pairs of a  [#permalink]

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New post 04 Feb 2019, 21:01
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carcass wrote:
During the first week of September, a shoe retailer sold 10 pairs of a certain style of oxfords at $ 35 a pair. If, during the second week of September, 15 pairs were sold at the sale price of $ 27.50 a pair, by what amount did the revenue from weekly sales of these oxfords increase during the second week?


A) $ 62.50
B) $ 75.00
C) $ 112.50
D) $ 137.50
E) $ 175.00

To quickly answer this question, make the math as simple as possible.

10 x 35 is already simple. It's obviously 350.

The second week's revenue is 15 x 27.50. We could multiply that out. However, we can make the work simpler by seeing that 15 x 27.50 = (10 + 5) x 27.50

So, we have (10 + 5) x 27.50 = 275 + 275/2 = 275 + 137.5

Don't even bother adding them.

275 - 350 = -75

137.5 - 75 = 62.5

The correct answer is A.
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Re: During the first week of September, a shoe retailer sold 10 pairs of a   [#permalink] 04 Feb 2019, 21:01
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