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April, May and June Average

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by sairamGmat » Thu Jul 15, 2010 4:13 pm
Month Average Price per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18


OA answer is D

Any explanation on How??

Thanks,
SairAm GMAT
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by indiantiger » Thu Jul 15, 2010 5:22 pm
Lets say that x dozen eggs were sold in April and May so June will have 2x dozen sold in it

Now avg = total money or earnings from all sales in all months / total dozen of eggs

sales for April month = x * 1.26
sales for May month = x * 1.20
sales for June month = 2x * 1.08

total sales = x(1.26 + 1.20 + 2.16) = 4.62x

total dozen of eggs = 4x

avg = 4.62x/4x = 1.155, which is approx = 1.16 (D)
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by Rahul@gurome » Thu Jul 15, 2010 5:23 pm
Price per dozen of the eggs sold over the three-month period = $1.26 + $1.20 + $2(1.08) = $4.62
Average price per dozen of the eggs sold over the three-month period = $4.62/4 = = $1.155 = $1.16

[spoiler]The correct answer is (D).[/spoiler]
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