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Last year a manufacturer had a sales tot...

Last year a manufacturer had a sales total for January that was 50 percent greater than the average (arithmetic mean) of the monthly sales totals for February through December. The sales total for January was fraction of the sales total for the year ?

A

`(1)/(11)`

B

`(1)/(8)`

C

`(3)/(25)`

D

`(3)/(22)`

Text Solution

Verified by Experts

The correct Answer is:
C
Call the average monthly sales for February through December 2x. Then the monthly sales for january were 3x. Total annual sales equal the sum of monthly sales for january and each of the 11 months from February through December, inclusive. In other words, total annual sales equal `3x+2x(11)=25x`. And of that 25x, what portion is january ? Again - 3x. So January's total sales as a fraction of total annual sales is `(3x)/(25x)=(3)/(25)`.
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