Applied Math
Section 1
Purchasing & Selling (Business Owner)
Section 2
Saving
(Short and Long Term)
Section 3
Borrowing
(Loans of all types)
Finance Unit
Section 1
UNIT PRICING
Comparison Shopping
• Kleen Bore No. 10 Solvent • 3 1/3 fl oz
• $2.28
• Hoppe’s No. 9 Solvent
• 3 1/3 fl oz
Comparison Shopping
• US Forge Welding
Electrode E6011 1/8-Inch by 14-Inch 5-Pound Box
• 5 lb
• $10.99
Hot Max 23032 1/8-Inch E6011 ARC Welding
Electrodes
Comparison Shopping
•
If the quantities are different, how do you tell
which option is better?
•
Compute the unit price
cost per 1 _______fl ozozftlb
total cost total quantity unit price =
Swiffer WetJet Refill
$5.99
42.2 fluid ounces (1.25 liters) $5.99
42.2 fl oz
$0.14/fl oz
Comparison Shopping
•
If the quantities are different, how do you tell
which option is better?
•
Compute the unit price
cost per 1 _______fl ozozftlb
total cost total quantity unit price =
Sears: Lincoln Electric ED030565 Welding Rod $13.68
37 rods in a package. $13.68
37 rods $0.37/rod
+ $10.24
$0.65/rod
Homework
Compute Unit Price
COLA
12 pack
Six 12-fl. oz. cans for $1.89
Twelve 12-fl. oz. cans for $3.54
Compute a unit price to determine the better deal.
total cost total quantity unit price =
price per can = $1.89
6 cans price per can =
$3.54 12 cans
unit price = $0.315/can unit price = $0.295/can
Comparison Shopping
Considerations•
Quality or performance the same?
• Product Life (car batteries – CCA rating, Warranty,
etc)
•
Is one product concentrated (use less)?
• Laundry detergent
• Medicine (Aleve™ versus regular ibuprofen)
$95.00 $88.00
700 CCA 600 CCA
Unit Pricing
•
Which is the better deal?
AERKO Freeze +P OC and
Pepper Stream Spray
4 oz for $12.95
Pepperball PAVA Pepper Spray
85 g for $15.95
$12.95 ÷ 4 oz $3.24 per oz
28.3 g = 1 oz
3 oz
Buyer Beware
•
Consumer Reports Online
, Sept. 2009
• State of Connecticut Department of Consumer
Protection:
– In a Stamford, CT Target™ Store they found that 17 of 50 (34%) product’s shelf tags had incorrect unit prices displayed.
• This was noted after the same store was warned about this problem in July of the same year.
• Consumer Reports noted that an A&P Grocery Store in
New York City displayed different unit prices for the same type of product.
Homework
Finance Chapter
Section 1
Percent Terminology
•
In any problem involving percents, there
are always three components:
On a 20 question blueprint reading test, a student got 17 correct. Their score is 85%.
Base
Computing the Part
•
To compute
Part
:
Decimal Form
Sale:
15% off. How much do you save
on a purchase of $145.95 ?
Part
=
Base
x
Rate
Part
=
$145.95
x
0.15
Part
=
$21.89
Discounts
1 of 2Qty Desc. Unit Price Extended Price
3 Paper $3.85
6 Calculator 8.49
6 Stapler 4.65
Subtotal
Discount
Shipping
Sales Tax
Grand Total
Shipping Table
$0.00 – 14.99 $6.95
$15.00 – 49.99 $8.95
$50.00 – 99.99 $10.95
$100 and above $14.95
3%
Discounts
1 of 2 SolutionQty Desc. Unit Price Extended Price
3 Paper $3.85
6 Calculator 8.49
6 Stapler 4.65
Subtotal Discount Shipping Sales Tax Grand Total Shipping Table
$0.00 – 14.99 $6.95
$15.00 – 49.99 $8.95
$50.00 – 99.99 $10.95
$100 and above $14.95
3% 5.5% $11.5 5 $50.94 $27.90 $90.39 ($2.71) $10.95 $4.82 $103.45
Qty. x Unit Price3 x $3.85
$90.39 x 0.03
Filling-in Order Blanks
Qty Desc. Unit Price Item Discounts if
Applicable
Extended Price
4 Paper $4.85 N/A
3 Calculator 12.01 5%
4 Stapler 8.19 15%
Subtotal
Discount
Shipping
Sales Tax
Grand Total
Shipping Table
$0.00 – 14.99 $6.95
$15.00 – 49.99 $8.95
$50.00 – 99.99 $10.95
$100 and above $14.95
3%
Filling-in Order Blanks
Qty Desc. Unit Price Item Discounts if
Applicable
Extended Price
2 Tillman TIG Gloves (XL)
$27.75 N/A
4 LINCOLN
ELECTRIC Welding Rod, 7018 MR, 1/8 In, 14 L, 10 lb.
$43.05 5%
2 GENERAL TOOLS Magnetic Welding Link $83.05 10% Subtotal Discount Shipping Sales Tax Grand Total Shipping Table
$0.00 – 14.99 $6.95
$15.00 – 49.99 $8.95
$50.00 – 99.99 $10.95
$100 and above $14.95
3%
Filling-in Order Blanks
Qty Desc. Unit Price Item Discounts if
Applicable
Extended Price
2 Tillman TIG Gloves (XL)
$27.75 N/A
4 LINCOLN
ELECTRIC Welding Rod, 7018 MR, 1/8 In, 14 L, 10 lb.
$43.05 5%
2 GENERAL TOOLS Magnetic Welding Link $83.05 10% Subtotal Discount Shipping Sales Tax Grand Total Shipping Table
$0.00 – 14.99 $6.95
$15.00 – 49.99 $8.95
$50.00 – 99.99 $10.95
$100 and above $14.95
3%
5.5%
2 x 27.75 =
$55.50
Step 1: 4 x $43.05 = $172.20
Step 2: $172.20 x 5% =
$172.20 x .05 = $8.61 discount
Step 3: $172.20 - $8.61 = $163.59
$163.59
Step 1: 2 x $83.05 = $166.10
Step 2: $166.10 x 10% =
$166.10 x .10 = $16.61 discount
Step 3: $166.10 - $16.61 = $149.49
$149.49
$368.58
Order Discount: $368.58 x 3% = $11.06
($11.06)
$14.95
New Subtotal: $368.58 – 11.06
New Subtotal = $357.52
Tax Owed: $357.52 x 5.5% =
Tax Owed = $19.66
$19.66
Filling-in Order Blanks
SolutionQty Desc. Unit Price Item Discounts
if Applicable
Extended Price
4 Paper $4.85 N/A
3 Calculator 12.01 5%
4 Stapler 8.19 15%
Subtotal Discount Shipping Sales Tax Grand Total Shipping Table
$0.00 – 14.99 $6.95
$15.00 – 49.99 $8.95
$50.00 – 99.99 $10.95
$100 and above $14.95
3%
5.5%
4 x $4.85 = $34.23 $27.85 $81.48
81.48 x .03 = $10.95
$4.35
$94.34
3 x $12.01 = $36.03 $36.03 x 0.05 = $1.80 $36.03-$1.80 = $34.23
($81.48-2.44) x 0.055 $19.40
Filling-in Order Blanks
SolutionQty Desc. Unit Price Item Discounts
if Applicable
Extended Price
4 Paper $4.85 N/A
3 Calculator 12.01 5%
4 Stapler 8.19 15%
Subtotal Discount Shipping Sales Tax Grand Total Shipping Table
$0.00 – 14.99 $6.95
$15.00 – 49.99 $8.95
$50.00 – 99.99 $10.95
$100 and above $14.95
3%
5.5%
4 x $4.85 =
$27.85 $81.48
81.48 x .03 = $10.95
$4.35
$94.34
($81.48-2.44) x 0.055 $19.40
($2.44)
3 x $12.01 = $36.03
price w/out discount$36.03 x 5%
$36.03 x .05 = $1.80
discount$36.03 - $1.80 =
$34.23
sale price$34.23
4 x $8.19 = $32.76
price w/out discount$32.76 x 15%
$32.76 x .15 = $4.91
discountFilling-in Order Blanks
SolutionQty Desc. Unit Price Item Discounts
if Applicable
Extended Price
4 Paper $4.85 N/A
3 Calculator 12.01 5%
4 Stapler 8.19 15%
Subtotal Discount Shipping Sales Tax Grand Total Shipping Table
$0.00 – 14.99 $6.95
$15.00 – 49.99 $8.95
$50.00 – 99.99 $10.95
$100 and above $14.95
3%
5.5%
4 x $4.85 =
$27.85 $81.48
81.48 x .03 = $10.95
$4.35
$94.34
$19.40
($2.44)
3 x $12.01 = $36.03
price w/out discount$36.03 x 5%
$36.03 x .05 = $1.80
discount$36.03 - $1.80 =
$34.23
sale price$34.23
4 x $8.19 = $32.76
price w/out discount$32.76 x 15%
$32.76 x .15 = $4.91
discount$32.76 - $4.91 =
$27.85
sale priceSubtotal $81.48 Discount - $2.44
Revised Subtotal $79.04
Tax Owed: $79.04 x 5.5%
Homework
•
Practice Set 2 page 6, #1 & 2
•
Next:
– Brief presentation on percent speed tips.
Homework
Homework
•
Practice Set 2 page 6, #1 & 2
Invoices:
Terms
Define, Understand and
Cash Discounts
•
Cash discounts are offered as a means of
Cash Discounts
Welding Supply.comSold To: Metal Fabricators Date: 10-Jun 10100 Fair Oaks Blvd Order No. 796152 Fair Oaks, CA 95628 Shipped by: UPS Terms: 2/10 n/30
Quantity
Order No.
Description Unit Price
Extension Total
1
40-225 amp AC stick
welder, Lincoln $428.99 $428.99 3 Full 5-lb CO2 Alum. $95.00 $285.00 2
YS-50 Standard
Welper MIG Gun Pliers $24.99 $49.98 2
YS-55 Holder For
YS-50 Pliers $8.99
$17.98 Invoice Total $781.95 Shipping/Insurance $36.50
Cash discount notation
2/10, n/30
2/10, net 30
Read as: “two ten net thirty”
2: 2% discount
10: must pay within 10 days of invoice date to earn the discount
n: net amount (original invoice total) 0 10 days 30 days
2% net
30: must pay the net amount within 30 days of the invoice date
Example 1
⚫
Determine the cash discount.
⚫ Invoice Amount: $285
⚫ Terms: 3/15, n/30
⚫ Payment will be made soon enough to take advantage of cash discount.
Discount = $285 x 3%
Discount = $285 x .03
Discount = $8.55
3/15 means that you can get a ____discount if you pay within ____ days
Example 2
⚫
Determine the cash discount.
⚫ Invoice Amount: $485 (includes $15 in shipping)
⚫ Terms: 2/10, n/30
⚫ Payment will be made to take advantage of cash discount.
Discount = $470 x 2%
Discount = $470 x .02
Discount = $9.40
Remove shipping: $485 - $15 = $470
2/10 means that you can get a ____discount if you pay within ____ days
Cash Discounts
Home Accessories Wholesalers
Sold To: Kitchens Galore Date: 10-Jun 10100 Fair Oaks Blvd Order No. 796152 Fair Oaks, CA 95628 Shipped by: UPS Terms: 2/10 n/30
Quantity
Order No.
Description Unit Price
Extension Total
6 doz. pastry brush $37.80 doz 3 gro. napkins, cotton $12.60 gro 9 doz. cherry pitters $14.04 doz 8 food processors (3 qt.) $106.12 ea 53 pr. stainless tongs $68.12 pr
Invoice Total
Shipping/Insurance
Cash Discounts
•
Most cash discounts are done using the
Ordinary Dating Method
.
2/10, n/30
2/10, net 30
Read as: “two ten net thirty”
2: 2% discount
10: 10 days to make payment if you want the discount
n: net amount is due
30: the 30th day after receiving the invoice is the “deadline”. Payment after the 30th day is subject to additional penalties.
0 10 30
2% net past due: net + penalty
Invoice
Date: 5/15/2010 2/10 n/30
Total: $361.05
Cash Discounts
GT Distributors
Invoice for:
Rapid Auto Repair
Terms: 1.5/10 n/30
Item Total: $459.85
Shipping $24.95
Grand Total $484.80 Terms: 1.5/10 n/30
Terms: 1.5/10 n/30
1.5% discount…
…if paid w/in 10 days.
no discount (net)…
…if paid between the 11th and 30th day.
Discount = $459.85 x .015 Discount = $6.90
GT Distributors
Invoice for:
Ken’s Ag Repair
Terms: 1.5/10 n/30
Grand Total $783.99
(Includes shipping of
$45.99)
Cash Discounts
Terms: 1.5/10 net/30
Discount = ($783.99 – 45.99) x .015 Discount = $11.07
Homework
Computing Markup
•
Practice Set 4, page 12
Item Cost
+
Markup
=
Retail Price
100% 40% 140%
Item Cost: $57.80 Markup Rate: 40%
Retail Price = _______
$57.80 x 0.40 =
$23.12 markup
$57.80 + 23.12 =
$80.92
SECTION 1
Computing Markup
example 1•
Establish the retail price of an item.
Item Cost
+
Markup
=
Retail Price
$39.19
+
$9.80
$48.99
Mag-Level
50 lb. pull
Cost: $39.19
Apply a 25% markup to this item.
Markup = Cost x Markup Rate Markup = $39.19 x 25%
Markup = $39.19 x 0.25
Computing Markup
example 2•
Establish the retail price of an item.
Item Cost
+
Markup
=
Retail Price
$373.03
+
$55.95
$428.98
Lincoln AC-225 Cost: $373.03
Apply a 15% markup to this item.
Markup = Cost x Markup Rate Markup = $373.03 x 15%
Markup = $373.03 x 0.15
Computing Markup
example 2•
Determine the selling price of this item.
Item Cost
+
Markup
=
Retail Price
Item Cost: $350.00 Markup Rate: 28%
Retail Price = _______ $350.00 x 0.28 =
$98.00 markup
$60.25 - $32.50
Markup Rate
•
A club costs a pro shop $32.50.
•
The selling price of the club is $60.25.
•
Compute the
markup rate
(%) applied to this item.
Markup Rate =
Markup Amount
Cost of item
Markup Rate =
$32.50 $27.75
= 0.8538
Markup Rate =
85.4%
Rate
•
Shortcut to compute rate (%)
Rate
=
Part
Base
On a 32 question driver’s license exam, a test-taker got 29 correct.
What is their score as a percent?
Rate
=
29
32
Rate
= 0.90625
Rate
= 91%
(nearest whole number)$7400 - $5600
Markup Rate
•
Trade-in your Car for $5,600
•
Dealer puts a price of $7,400 on the car.
•
Compute the
markup rate
(%) applied to the car.
Markup Rate =
Markup Amount
Cost of item
Markup Rate =
$5600 $1800
= 0.32142
Markup Rate =
32.1%
R =
P
$224.97 - $168.00
Markup Rate
•
DeWalt
Heavy Duty Circular Saw
•
Dealer Cost: $168.00 Retail Price: $224.97
•
Compute the
markup rate
(%) applied to the saw.
Markup Rate =
Markup Amount
Cost of item
Markup Rate =
$168.00 $56.97
= 0.339107