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### Chapter 2 Review Exercises

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• 9. Interpreting a Waterfall Graph

The waterfall graph shows the pricing history of waffle makers at an appliance outlet. Find the initial retail price.

• Worked-Out Solution

The initial retail price is

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```           __   __  __    __   _    _    __   __
___    \ \\/ // \ \\ / // | || | ||  \ \\/ //
/   ||   \ ` //   \ \/ //  | || | ||   \   //
| [] ||    | ||     \  //   | \\_/ ||   / . \\
\__ ||    |_||      \//     \____//   /_//\_\\
-|_||    `-`'       `       `---`    `-`  --`
`-`
```
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• 10. Finding a Markup Percent

The waterfall graph shows the pricing history of waffle makers at an appliance outlet. Find the initial markup percent.

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``` __   __    _____    _____      ______   __   __
\ \\/ //  |  ___|| |  __ \\   /_   _//  \ \\/ //
\   //   | ||__   | |  \ ||   -| ||-    \   //
/ . \\   | ||__   | |__/ ||   _| ||_    / . \\
/_//\_\\  |_____|| |_____//   /_____//  /_//\_\\
`-`  --`  `-----`   -----`    `-----`   `-`  --`

```
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• 11. Finding a Total Discount

The waterfall graph shows the pricing history of waffle makers at an appliance outlet. Find the total discount.

• Worked-Out Solution

The total discount is

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``` ______      ___      ______     ___
|      \\   / _ \\   /_   _//   / _ \\    ____
|  --  //  | / \ ||  `-| |,-   / //\ \\  |    \\
|  --  \\  | \_/ ||    | ||   |  ___  || | [] ||
|______//   \___//     |_||   |_||  |_|| |  __//
`------`    `---`      `-`'   `-`   `-`  |_|`-`
`-`
```
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• 12. Finding an Average Markup Percent

The waterfall graph shows the pricing history of waffle makers at an appliance outlet. You work at the outlet. You order 50 waffle makers at the wholesale price of \$35 each. During the next 6 months, you repeatedly mark down the price until you finally sell all 50 waffle makers. Use the sales record below to find the average markup percent.

• 20 sold at initial retail price
• 14 sold at the first discount
• 10 sold at the second discount
• 6 sold at the third discount

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```  _____      ___                 ___     _    _
/ ____||   / _ \\      ___     / _ \\  | \  / ||
/ //---`'  | / \ ||    /   ||  / //\ \\ |  \/  ||
\ \\___    | \_/ ||   | [] || |  ___  ||| .  . ||
\_____||   \___//     \__ || |_||  |_|||_|\/|_||
`----`    `---`       -|_|| `-`   `-` `-`  `-`
`-`
```
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• 13. Finding a Discount Percent

The waterfall graph shows the pricing history of waffle makers at an appliance outlet. What is the discount percent on the initial retail price after the second discount?

• Worked-Out Solution

The original retail price of the waffle maker was \$60. The first two discounts total \$15. So the discount percent after the second discount is

In other words, after the second discount, the waffle maker is "25% off."

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``` __   _     _____   __    __     ___      _  __
| || | ||  |  ___|| \ \\ / //   / _ \\   | |/ //
| '--' ||  | ||__    \ \/ //   | / \ ||  | ' //
| .--. ||  | ||__     \  //    | \_/ ||  | . \\
|_|| |_||  |_____||    \//      \___//   |_|\_\\
`-`  `-`   `-----`      `       `---`    `-` --`

```
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• 14. Finding a Discount Percent

The waterfall graph shows the pricing history of waffle makers at an appliance outlet. When applying the third discount, the store advertises a 50% discount.

1. Did the store use the initial retail price or the price after the second discount to calculate the discount percent? Explain your reasoning.
2. Suppose the store had used the other price in part (a). What is the discount percent?
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```            _____     _  __   __   __  __    __
___    |  ___||  | |/ //  \ \\/ // \ \\ / //
/   ||  | ||__    | ' //    \ ` //   \ \/ //
| [] ||  | ||__    | . \\     | ||     \  //
\__ ||  |_____||  |_|\_\\    |_||      \//
-|_||  `-----`   `-` --`    `-`'       `
`-`
```
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• 15. Finding a Discounted Price

The waterfall graph shows the pricing history of waffle makers at an appliance outlet. You get an employee discount of 10% off any item. You buy a waffle maker after the first discount. How much do you pay?

• Worked-Out Solution

After the first discount, the price of the waffle maker is \$55. You get 10% off this price.

So, your discounted price is \$49.50.

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``` _    _     ______  __    __    ______   ______
| \  / ||  /_   _// \ \\ / //  /_   _// |      \\
|  \/  ||   -| ||-   \ \/ //    -| ||-  |  --  //
| .  . ||   _| ||_    \  //     _| ||_  |  --  \\
|_|\/|_||  /_____//    \//     /_____// |______//
`-`  `-`   `-----`      `      `-----`  `------`

```
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• 16. Finding a Final Price

The waterfall graph shows the pricing history of waffle makers at an appliance outlet. You get an employee discount of 50% off any item.

1. What is the final price when you apply the first discount and then apply the employee discount?
2. What is the final price when you apply the employee discount and then apply the first discount?
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```             ___                ______
____      / _ \\      ___    /_   _//     ___
|    \\   | / \ ||    /   ||   -| ||-     /   ||
| [] ||   | \_/ ||   | [] ||   _| ||_    | [] ||
|  __//    \___//     \__ ||  /_____//    \__ ||
|_|`-`     `---`       -|_||  `-----`      -|_||
`-`                     `-`                 `-`
```
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