This seems way too easy to me, so I think that I am wrong. However, here is what I did.

A = S/n, therefore, S = 126n; S = 120n; S = 54n Then,

126n + 120n + 2(54n)/n + n + n

354n/3n = 118 -----------> therefore, 1.18 is the average. I'll go w/ E.

For illustration just assume that one dozen were sold in April and May, and two dozen were sold in June(you can also pick n, n and 2n) . These values adhere to constraints given in the question.
now average = (1.26 + 1.20 + 1.08 + 1.08) / 4.
Using this we get an answer 1.155. and that is not given in the answer choices. so there is a .02 missing from the total, check the values again in the question.

AleksandrM, You went wrong at two places. Firstly you can not half the average value in June. The value is average, not total. Secondly, you divided by 3n instead of 4n.

You are absolutely right. I should have checked my setup to see whether it made logical sense. June should have been 216 instead a return to 108. The 3n was a stupid mistake because I had THREE months figure stuck in my head.

When you actually double the June figure, you will end up with 462n/4n and this will give you 1.155, which I guess could be rounded off to $1.16, but again, this figure is not in the answer choices.

Good call. Thanks.

I also got 1.155, which rounds to 1.16, so the answer should be D.

Here's a different way to think about it:

Half of the eggs were sold in April/May, half in June (and April=May for numbers).

If we take the average price for April/May, we get $1.23. The average price for June is $1.08.

Each of those accounts for half the eggs sold: therefore, the overall average will simply be the average of those two figures.

($1.23 + $1.08)/2 = $2.31/2 - $1.155: choose (D)