Trade and cash discounts. Mathematics of buying. List price. Trade discounts. Net price презентация

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Learning Outcomes

Find the Net Price applying a trade discount series and using the net decimal equivalent.
Find

the Trade Discount applying a trade discount series and using the single discount equivalent.

8-2

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Trade discount series or chain discount
Additional discounts that are deducted one after another

from the list price.

Trade Discount Series

Section 8-2

Key Terms…

Reasons to use discount series include:
To encourage volume purchases
To promote special or seasonal items
To attract new client

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Trade discount series step by step

One way to calculate the net price is

to make a series of calculations.

Find the net price applying a trade discount series and using the net decimal equivalent

Trade Discount Series

8-2-1

Section 8-2

Complements are used to find net prices directly.
A faster method.

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Trade discount series step by step

An item lists for $400 and has a

discount of 20%.
$400 x 0.2 = $80; $400 - $80 = $320

Find the net price applying a trade discount series and using the net decimal equivalent

Trade Discount Series

Section 8-2

HOW TO:

An additional discount of 10% is taken on the previous price.
$320 x 0.1 = $32; $320 - $32 = $288

An additional discount of 5% is taken on the previous price.
$288 x 0.05 = $14.40; $288 - $14.40 = $273.60

$273.60 is the final price.

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Trade Discount Series

Section 8-2

Can you add the discounts together and apply it as one?

If

the item has three discounts of (20% / 10% / 5%), can you add them together and apply a 35% discount?

No!

Each time you apply the additional discount, the base becomes smaller.
Directly applying a 35% discount would result in a final price of $260.
$260 ≠ $273.60

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Multiply the decimal form of the complement of each trade discount rate in a

series.
Multiply the list price by the net decimal equivalent.

Find the net decimal equivalent

Trade Discount Series

Section 8-2

HOW TO:
Using the complement method to find the Net Price

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Find the net price of an order with a list price of $800 and

a trade discount series of 20/10/5.
Find the complement of each of the trade discount rates.
They are 0.80, 0.90 and 0.95. Multiply them together.
0.80*0.90*0.95= 0.684
The net decimal equivalent is 0.684.
Apply the net decimal equivalent to the list price.
NP = 0.684 x $800 = $547.20

An Example…

Trade Discount Series

Section 8-2

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A refrigirator lists for $325 and has a trade discount series of 20/10/10.

Find the net price.
$210.60
A dress lists for $125 and has a trade discount series of 15/10/7.5. Find the net price.
$88.45

Examples…

Trade Discount Series

Section 8-2

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Single Trade Discounts

Section 8-1

HOW TO:

Find the single discount equivalent by subtracting the net

decimal equivalent from 1.
Multiply the list price by the single discount equivalent.

Use the trade discount

TD = single discount equivalent x list price

Use the single discount equivalent to calculate the trade discount on a $3,200 lawn tractor with a discount series of 30/20/10.

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An Example…

Trade Discount Series

Section 8-2

Use the single discount equivalent to calculate the trade

discount on a $3,200 lawn tractor with a discount series of 30/20/10.

Find the net decimal equivalent by multiplying the complements of each discount rate.
0.70 x 0.80 x 0.90 = 0.504
Subtract the net decimal equivalent (0.504) from “1” to find the single discount equivalent.
The result is 0.496 (or 49.6%).

The single discount equivalent is 0.496; apply it to the price of $3,200.
TD = $3,200 x 0.496 = $1,587.20
The trade discount on the tractor is $1,587.20. That is the amount that you do not pay.

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