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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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