christoph
a magazine, currently sold on the newsstand at 2$ per copy is to have the newsstand price increased 50%. what will be the percentage increase in revenue from the new price on the newsstands ?
1) at the original price, 30.000 copies are sold on newsstands.
2) for every 0,25$ increase in price, there is a reduction of 5% in the numbers sold on the newsstands.
Answer (B)
From (1), when price is 3$, how much sold is not known
From (2), let 'x' magazines sold initiallly. Then
Initial Revenue = 2x $
For every 0.25$ increase, 5% reduction in numbers
For first 0.25$ increase, 0.95x is the number of copies
For next 0.25$ increase, 0.95(0.95x) is the number of copies...
and so on.. till we reach the new price at 3$, at which the
number of copies sold will be Y = (0.95)^4 * x
% revenue increase = [ (3Y - 2x)/2x ] * 100
Hence can be found out from (2) itself. No need to know the actual value of 'x' since the final result required is % increase in revenues...