Fantasia Florist Shop purchases an order of imported roses with a list price of $2,375 less trade discounts of 15/20/20. What is the dollar amount of the trade discount? Using your answer to the question above, what is the net dollar amount of that rose order? What is the net price factor for trade discounts of 25/15/10? Use the net price factor you found in the previous question to find the net price of a couch listed for $800.

The equivalent single discount

= (.85)(.8)(.8) = .544

So the dollar amount of the discount
= 2375(.544) = $1292

so net amount of order = 2375 - 1292 = $1083

the net price for the trade discount = .544 (I found this first)

final price for a $800 couch using the above
= 800(1 - .544) = $364.80

Back up a bit,

I didn't catch the NEW discounts for the last question

for 25/15/10
the single discount = .75(.85)(.9) = .57375

so final price for that $800 couch
= 800(1 - .57375) = $341.00

Step 1: Calculate the dollar amount of the trade discount

To calculate the trade discount, we need to find the net price for each stage of the discount.

List price: $2,375

First discount: 15%
Net price after the first discount: $2,375 - (($2,375 * 15) / 100) = $2,375 - ($356.25) = $2,018.75

Second discount: 20%
Net price after the second discount: $2,018.75 - (($2,018.75 * 20) / 100) = $2,018.75 - ($403.75) = $1,615

Third discount: 20%
Net price after the third discount: $1,615 - (($1,615 * 20) / 100) = $1,615 - ($323) = $1,292

Step 2: Calculate the dollar amount of the trade discount
To calculate the trade discount, subtract the net price from the list price:
$2,375 - $1,292 = $1,083

The dollar amount of the trade discount is $1,083.

Step 3: Calculate the net dollar amount of the rose order
The net dollar amount is the total amount after subtracting the trade discount from the list price:
List price: $2,375
Trade discount: $1,083

Net dollar amount = $2,375 - $1,083 = $1,292

The net dollar amount of the rose order is $1,292.

Step 4: Calculate the net price factor for trade discounts of 25/15/10
The net price factor is calculated by multiplying the individual discount factors:
Net price factor = (1 - 25/100) * (1 - 15/100) * (1 - 10/100)

Net price factor = (0.75) * (0.85) * (0.9) = 0.57375

The net price factor for trade discounts of 25/15/10 is 0.57375.

Step 5: Calculate the net price of a couch listed for $800
To calculate the net price, multiply the list price by the net price factor:

Net price = $800 * 0.57375 = $459

The net price of a couch listed for $800 is $459.

To find the dollar amount of the trade discount, you need to calculate the individual trade discounts and then apply them consecutively.

The trade discounts of 15/20/20 mean that the discounts are applied in sequential order.
- First, you start with the list price of $2,375.
- The first trade discount of 15% means you deduct 15% of the list price: $2,375 * 0.15 = $356.25.
- The second trade discount of 20% is applied to the remaining amount after the first discount. So, you deduct 20% from $2,018.75: $2,018.75 * 0.20 = $403.75.
- Lastly, the third trade discount of 20% is applied to the remaining amount: $2,018.75 * 0.20 = $403.75.

To calculate the net dollar amount of the rose order, you subtract the total trade discounts from the list price:
$2,375 - ($356.25 + $403.75 + $403.75) = $2,375 - $1,163.75 = $1,211.25.

Now, let's move on to the next question. To find the net price factor for trade discounts of 25/15/10, you need to calculate the product of the complement of each discount. The complement of a discount is 1 minus the discount percentage.

- For the first discount of 25%, the complement is 1 - 0.25 = 0.75.
- For the second discount of 15%, the complement is 1 - 0.15 = 0.85.
- For the third discount of 10%, the complement is 1 - 0.10 = 0.90.

To calculate the net price factor, multiply these complements together:
0.75 * 0.85 * 0.90 = 0.57375.

Now, using the net price factor we found, we can calculate the net price of a couch listed for $800:
Net Price = List Price * Net Price Factor
Net Price = $800 * 0.57375 = $459.

Therefore, the net price of the couch listed for $800 would be $459.