Chapter 6.5, Problem 36IP

a.

To determine

To find: Percentage of change of Markup.

Answer to Problem 36IP

Percent of change of Markup is $65\%$

Explanation of Solution

Given information:

Original price $=\$200$

Selling price $=\$330$ .

Concept:

Percent of change $=\frac{A}{O}\times 100$

Where

  $A=$ Amount of change.

  $O=$ Original price.

From given information

Original price $=\$200$

Selling price $=\$330$ .

Amount of change = Selling price $-$ Original price

  $\begin{array}{l}\Rightarrow A=330-200\\ \Rightarrow A=130\end{array}$

Therefore,

Percent of change $=\frac{130}{200}\times 100$

  $\Rightarrow$ Percent of change $=\frac{13000}{200}$

  $\Rightarrow$ Percent of change $=65$

To nearest tenth, the Percent of change is $65\%$ and Positive sign indicates that percent of change is a Markup.

b.

To determine

To find: Percentage of change of Discount.

Answer to Problem 36IP

Percent of change of Discount is $39.4\%$

Explanation of Solution

Given information:

Original price $=\$330$

Selling price $=\$200$

Concept:

Percent of change $=\frac{A}{O}\times 100$

Where

  $A=$ Amount of change.

  $O=$ Original price.

From given information

Original price $=\$330$

Selling price $=\$200$

Amount of change = Selling price $-$ Original price

  $\begin{array}{l}\Rightarrow A=200-330\\ \Rightarrow A=-130\end{array}$

Therefore,

Percent of change $=\frac{-130}{330}\times 100$

  $\Rightarrow$ Percent of change $=\frac{-13000}{330}$

  $\Rightarrow$ Percent of change $=-39.39$

To nearest tenth, the Percent of change is $39.4\%$ and Negative sign indicates that percent of change is a Discount.

c.

To determine

To find:Are the Percent’s equal.

Answer to Problem 36IP

Both Percent’s are Not equal

Explanation of Solution

For Hybrid bike Markup

Percent of change is $65\%$

For Road bike Discount

Percent of change $=-39.39$

On comparing we can say that

Both Percent’s are Not equal