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

Question

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

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

pushpitkc · Answer

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

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)

GMATinsight · Answer

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

Increase = 412.5 - 350 = 62.5

Answer: Option A

MartyTargetTestPrep · Answer

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.

100mitra · Answer

Week 1 : 10 pairs @$35 = 10*35 = $350
Week 2 : 15 pairs @$27.5 = 15*27.5 = $412.5
Increase = Week 2 - Week 1 = $412.5 - $350 = $62.5
Answer: Option A

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

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