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2.2 Markup & Discount

2.2 Markup & Discount
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  • 17. Finding the Markup Percent for an Energy Drink

    What is the markup percent from the manufacturer price to the retail price?

    • Worked-Out Solution

      The markup is The markup percent is

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      _____    __   __   __   _      ___      ______  
     |__  //   \ \\/ // | || | ||   / _ \\   /_____// 
       / //     \ ` //  | '--' ||  | / \ ||  `____ `  
      / //__     | ||   | .--. ||  | \_/ ||  /___//   
     /_____||    |_||   |_|| |_||   \___//   `__ `    
     `-----`     `-`'   `-`  `-`    `---`    /_//     
                                             `-`      
    
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  • 18. Finding the Markup Percent on an Energy Drink

    What is the markup percent from the distributor price to the retail price?

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      _  _    _    _    ______     _____             
     | \| || | || | || |      \\  |  ___||   ____    
     |  ' || | || | || |  --  //  | ||__    |    \\  
     | .  || | \\_/ || |  --  \\  | ||__    | [] ||  
     |_|\_||  \____//  |______//  |_____||  |  __//  
     `-` -`    `---`   `------`   `-----`   |_|`-`   
                                            `-`      
    
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  • 19. Finding the Markup Percent for an Energy Drink

    You buy one energy drink. You have a coupon for $0.75 off. What is the discount percent?

    • Worked-Out Solution

      The discount is $0.75. The discount percent is

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       _____    ______   __   _      ___      _____   
      / ___//  /_   _// | || | ||   / _ \\   /  ___|| 
      \___ \\   -| ||-  | '--' ||  / //\ \\ | // __   
      /    //   _| ||_  | .--. || |  ___  ||| \\_\ || 
     /____//   /_____// |_|| |_|| |_||  |_|| \____//  
    `-----`    `-----`  `-`  `-`  `-`   `-`   `---`   
                                                      
    
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  • 20. Finding the Markup Percent on an Energy Drink

    Suppose the store marks up the energy drink to $3.25 instead of $3.50. What is the markup percent from the distributor price to the retail price?

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    __    __   __   __   __   _      ___     ______   
    \ \\ / //  \ \\/ // | || | ||   / _ \\  |      \\ 
     \ \/ //    \ ` //  | '--' ||  / //\ \\ |  --  // 
      \  //      | ||   | .--. || |  ___  |||  --  \\ 
       \//       |_||   |_|| |_|| |_||  |_|||______// 
        `        `-`'   `-`  `-`  `-`   `-` `------`  
                                                      
    
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  • 21. Finding Discounts for a Clearance Sale

    A store advertises that it is having a "30% off" sale on all items, with an additional 20% off clearance items. The additional 20% is taken off after the 30% discount is applied. You are buying a spice rack that is on clearance. The regular price of the spice rack is $30.

    1. What is the total discount?
    2. What is the total discount percent?
    3. Why do you think the store advertises its sale using two discount percents instead of one? Explain.
    • Worked-Out Solution
      1. Notice that taking 30% off and then taking 20% of the discounted price is not the same as taking 50% off.

      2. The total discount percent is

      3. One possible reason is that by having a 30% sale combined with an additional 20% discount makes it appear that the store is having a 50% off sale, when in fact it is having a 44% off sale.

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      _  __   __   __    ______   __   __   _    _   
     | |/ //  \ \\/ //  /_____//  \ \\/ // | |  | || 
     | ' //    \ ` //   `____ `    \ ` //  | |/\| || 
     | . \\     | ||    /___//      | ||   |  /\  || 
     |_|\_\\    |_||    `__ `       |_||   |_// \_|| 
     `-` --`    `-`'    /_//        `-`'   `-`   `-` 
                        `-`                          
    
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  • 22. Customer Service

    You work at a store that is having a "50% off" sale. A customer has a coupon for 50% off any item and thinks that a $40 sweater should be free with the coupon. How would you explain why the sweater is not 100% off? Explain your reasoning.

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                 ___    __    __    _____     _____   
        ___     / _ \\  \ \\ / //  |  ___||  |__  //  
       /   ||  / //\ \\  \ \/ //   | ||__      / //   
      | [] || |  ___  ||  \  //    | ||__     / //__  
       \__ || |_||  |_||   \//     |_____||  /_____|| 
        -|_|| `-`   `-`     `      `-----`   `-----`  
         `-`                                          
    
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