Bunuel
If the average (arithmetic mean) monthly sales of a department store was y dollars during a certain period of several years, what is the average biannual sales over the same period?
(1) The period includes exactly 4 years.
(2) y = 500.
Are You Up For the Challenge: 700 Level QuestionsBiannual usually means 'once in 6 months.' Note that 'biennial' means once in two years but sometimes, we use biannual for that too.
Average biannual sales means average 6 month sales.
Say for a period of n years, average monthly sales of a store is y.
y = Total sales of n years / Total number of months (= n*12)
Over the same period, what will the biannual sales be?
Avg Biannual sales = Total sales of n years / Total number of biannual periods (= n*2)
Note that avg biannual sales is just y multiplied by 6 i.e. the average monthly sales multiplied by 6 to make it 6 monthly sale.
Hence, we just need the value of y to get the avg biannual sales. We don't need the value of n. Or we need the total sales over the total n years.
Statement 2 tells us that y = 500. So avg biannual sales is 500*6 = $3000
Sufficient alone
Statement 1 tells us that n = 4. It doesn't help us because we don't know the sales of these 4 years.
Not sufficient
Answer (B)