A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)
If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?
A. 180%
B. 200%
C. 210%
D. 280%
E. 300%
B. 200%
C. 210%
D. 280%
E. 300%
The cost of purchasing 50 shirts with at least 14 days notice:
50 + 4(50) = 250
In the case of a 5-day notice — 9 days fewer than 14-day notice — each shirt would then be charged $4 + $9 = $13. Then the $50 rush fee would also be added.
50 + 50 + 13(50) = 100 + 650 = 750
We can now determine the percent change, using the formula percentage Percent change is [(new — old)/old] x 100 percent.
(750–250)/250 x 100
500/250 x 100 = 2 x 100 = 200 percent
B
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