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Re: Between 2011 and 2012, total costs per distinct customer inc [#permalink]
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it depends also your starting value and end value and what the question is asking you.

Please read the explanation above and also this https://gre.myprepclub.com/forum/gre-math- ... tml#p81625
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Re: Between 2011 and 2012, total costs per distinct customer inc [#permalink]
I don't understand how using percent change in the numerator gets us the answer. Don't we need the actual NUMBER of customers and cost in dollars to get the correct answer?
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Re: Between 2011 and 2012, total costs per distinct customer inc [#permalink]
Please help, how to know this question?
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Between 2011 and 2012, total costs per distinct customer inc [#permalink]
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sandy wrote:
Image

Between 2011 and 2012, total costs per distinct customer increased by the greatest percent at which store?

(A) Store W
(B) Store X
(C) Store Y
(D) Store Z
(D) It cannot be determined from the information given.

-----------------------------------------------------------
STORE W
Let A = the total costs for 2011
Let B = the total number of customers for 2011
So, in 2011, the total cost per person = A/B

According to the table...
1.15A = the total costs for 2012
1.02B = the total number of customers for 2012
So, in 2012, the total cost per person = 1.15A/1.02B

So, the cost per person percent increase = [(1.15A/1.02B) - (A/B)]/(A/B) = 0.13/1.02 ≈ 12.7%
---------------------------------------------------------
STORE X
Let C = the total costs for 2011
Let D = the total number of customers for 2011
So, in 2011, the total cost per person = C/D

According to the table...
1.04C = the total costs for 2012
1.14D = the total number of customers for 2012
So, in 2012, the total cost per person = 1.04C/1.14D

STOP! At this point, we can see that the cost per person actually decreases from 2011 to 2012
--------------------------------------------------------

When we perform the same calculations for store Y, we get the cost per person percent increase = 0.07/1.05 ≈ 6.7%

When we perform the same calculations for store Z, we see that the cost per person actually decreases from 2011 to 2012

So, the greatest percent increase occurs with store W

Answer: A
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