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the management of a store holding a 4 week sale finds that

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the management of a store holding a 4 week sale finds that [#permalink] New post 15 Feb 2005, 07:02
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the management of a store holding a 4 week sale finds that the average of daily sales increases each week by the same amount. if the overall average for the entire sale was 3,300$ and the average for week 3 was 20% higher than the average for week 2, by how much did the average for the last week exceed the average daily sales for the first week ?

a 1320
b 1800
c 1920
d 2640
e 3960
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 [#permalink] New post 15 Feb 2005, 07:16
"B"

Let x be the first week avg and y be the increment amount.
So we have for each week:

x x+y x+2y x+3y


4x+6y = 4*3300

2x+3y = 6600------(1)

2y = y + (x+y)/5
4y = x -----(2)


From Eq 1 and 2

y = 2*300

y = 600

So amt of increase = 3y = 1800
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 [#permalink] New post 17 Feb 2005, 11:33
banerjeea_98:

Could you please explain how you got the second equation ?

Thanks

2y = y + (x+y)/5
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 [#permalink] New post 17 Feb 2005, 12:26
1. week: x
2. week: x+y
3. week: x+2y
4. week: x+3y

=> (4x+6y)=3300 => 4x+6y=6600 <=> 1 eq

and the average for week 3 was 20% higher than the average for week 2 => x+2y=1,2 (x+y) <=> 2 eq

solve 1 + 2 and you get B)
  [#permalink] 17 Feb 2005, 12:26
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