The Mathematics of Money

(Darren Dugan) #1

374


CHAPTER 8


SUMMARY


Topic Key Ideas, Formulas and Techniques Example(s)


Markup Based on Cost,
p. 333


  • Markup based on cost formula: P  C(1  r)
    Markup amount is the difference between retail
    price and cost.


An auto mechanic charges
40% markup based on cost
for parts. Determine the retail
price and amount of markup
for an air fi lter that cost
$14.95.
(Example 8.1.1)

Determining Markup Percent,
p. 334


  • Use the markup based on cost formula and solve
    for r.

  • Or calculate the markup amount and divide by
    the cost.


An electronics retailer offers a
computer for sale for $1,000.
The cost is $700. Determine
the markup percent.
(Example 8.1.3)

Markdown, p. 334 • Markdown formula: MP  OP(1  d).


  • Markdown amount is difference between original
    and marked-down price.


A furniture store offers a
15%-off sale. A sofa normally
sells for $1,279.95. What is
the sale price?
(Example 8.1.4)

Markup versus Markdown,
p. 336


  • Despite appearances, if a price is marked up by
    a certain percent and then marked down by the
    same percent, the result is not the original cost.

  • To determine the markdown to get back to
    cost, calculate the percent markdown, using
    the cost and retail prices.

  • If price is unknown, use any amount for the cost
    (such as $100).


If prices are calculated with
a 35% markup based on
cost, what is the percentage
that those prices should be
marked down to get back to
original cost?
(Example 8.1.8)

Gross Profi t Margin, p. 343 • Gross profi t is the difference between cost and
selling price.


  • Gross profi t margin is gross profi t as a percent of
    selling price.


Last year, sales at Sally’s
Fashion Paradise totaled
$219,540. The cost of the
items sold was $147,470.
What was the business’s
gross profi t margin?
(Example 8.2.3)

Net Profi t Margin, p. 344 • Net profi t is the profi t left after expenses are
subtracted from gross profi t.


  • Net profi t margin is net profi t as a percent of
    selling price.


Last year, Sally’s Fashion
Paradise had overhead
expenses totaling $63,073.
Find the net profi t margin.
(Example 8.2.4)

Proportionate Allocation of
Expenses, p. 345


  • The net profi t margin for an individual item is
    diffi cult to determine since expenses cannot
    usually be directly attributed to each item.

  • Proportionate allocation applies the business’s
    overall expense percent to each item.


A dress sold for $65. The
business’s overall sales
were $219,540 and overall
expenses were $63,073.
Using proportionate
allocation, fi nd how much
expense is attributable to this
dress.
(Example 8.2.6)

Markup Based on Selling
Price, p. 345


  • Markup based on selling price formula:
    C  SP(1  r).


Determine the selling price of
an item costing $45 in order
to have a 35% gross margin.
(Example 8.2.7)

(Continued)
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