Bunuel
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%
OFFICIAL SOLUTION
Let NC stand for New Charge and OC stand for Original Charge.
The question asks for the percent greater, which will be (NC-OC)/OC.
The OC will be "
Set-Up Fee + Total Shirt Charges," or $50+($4∗50). The OC is $250.
The NC will be "
New Set Up Fee + New Total Shirt Charges"
Since there is a $1 additional premium for each day less than 14 days, the per shirt charge for the rush delivery will be $4+(14−5)∗$1 or $13 per shirt.
The NC will be $100 + ($13∗50) or $750.
The NC is \(\frac{($750−250)}{$250}\) or \(\frac{$500}{$250}\) or 200% greater than the original.
Think Like the Testmaker: Read the Question Note that the NC is 300 of the original OF the original charge or answer choice E. On percentage questions, always be careful to read the final question carefully, as typically both the percentage greater/less than and percentage of will be both be answer choices.