Respuesta :

Answer:

Refer to the explanation.

Step-by-step explanation:

Let's take each one at a time.

1.

To solve for the complement, we simply subtract our markup rate by 100%.

100% - 30% = 70%

Now to solve for the selling price, we use the formula

[tex]SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}[/tex]

[tex]SellingPrice=\dfrac{86.74}{0.70}[/tex]

Selling Price = $123.91

2.

We do the same process with the first number.

100% - 40% = 60%

[tex]SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}[/tex]

[tex]SellingPrice=\dfrac{220.00}{0.60}[/tex]

SellingPrice = $366.67

3.

The same as the first two.

100% - 20% = 80%

[tex]SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}[/tex]

[tex]SellingPrice=\dfrac{89.50}{0.80}[/tex]

SellingPrice = $111.88

4.

Now to solve for the markup rate, we use the formula:

[tex]MarkupRate=\dfrac{Markup}{SelingPrice}[/tex]

In this case we first need to find the markup. The markup is the difference between the selling price and the cost.

Selling Price = $235.28

Cost = $199.99

Markup = $235.28 - $199.99

Markup = $35.29

Now the we know our markup, we can then solve for the markup rate using the formula.

[tex]MarkupRate=\dfrac{Markup}{SelingPrice}[/tex]

[tex]MarkupRate=\dfrac{35.29}{235.28}[/tex]

MarkupRate = 0.1499 x 100 = 14.99% or 15%

5.

Now for the last one, we need to find for the cost. Let's use the selling price formula to find for the cost.

[tex]SellingPrice=\dfrac{Cost}{ComplementOfMarkupRate}[/tex]

Selling Price = $30.77

Complement = 65% or 0.65

This will then give us.

[tex]30.77=\dfrac{Cost}{0.65}[/tex]

We multiple both sides of the equation by 0.65 to leave our cost alone.

30.77 x 0.65 = Cost

Cost = $20

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