Basic HTML Version
Q
uantitative
R
easoning &
P
roblem
S
olving
358
© 2014 Pacific Crest
Step
Model
4.
Identify the percents to be
added or subtracted
25% discount on all items except the backpack. Add sales tax of 5%
on everything.
5.
Calculate each percent
and add or subtract as
appropriate
$20.36 – 25% of $20.36 = $20.36 – (0.25
×
$20.36) = $15.27
Adding on the backpack brings the total to $41.26 before tax.
Adding on the 5% tax ($41.26) + (0.05
×
$41.26) brings the total of
Ivan’s supplies to $43.32
6.
Validate
$43.32 is 1.05 times the taxable amount, which gives the taxable
amount as $41.26.
Subtracting off the backpack gives $15.27 as the discounted amount.
$15.27 is 75% of the original price, which gives $20.36 as the original
price of Ivan’s school items.
M
odel
2: F
eeding
the
F
amily
Scenario:
Amanda, Hunter, and their three children live in a state where all purchases,
including groceries, are taxable. They usually shop once a week on Saturday
morning for their groceries for the week. Create a grocery list for them, consult
local ads or visit a grocery store to determine the unit prices of the items and the
best buys. Amanda has a coupon for 10% off her entire purchase. Calculate their
total grocery bill for the week, including a 6.5% sales tax.
C
ritical Thinking Questions
Developing your understanding
1. Is it possible for a markup to be greater than 100%? Explain.
2. Is it possible for a discount to be greater than 100%? Explain.