Ron Larson
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2.2 Markup & Discount

2.2 Markup & Discount
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  • 13. Comparing the Order of Two Discounts

    You are purchasing a television from an electronics store. The television retails for $380 and the store is having a "15% off" sale on all items. You have the coupon shown. (See Example 5.)

    1. What is the final price when you first take 15% off and then subtract $25?
    2. What is the final price when you first subtract $25 and then take 15% off?
    • Worked-Out Solution

      1. First subtract 15%. Then subtract $25.

        The discounted price is $298.

      2. First subtract $25. Then subtract 15%.

        The discounted price is $301.75.

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  • 14. Comparing the Order of Two Discounts

    You are purchasing a television from an electronics store. The television retails for $380 and the store is having a "15% off" sale on all items. You have the coupon shown. (See Example 5.)

    1. What is the final price when you first take 15% off and then subtract $20?

    2. What is the final price when you first subtract $20 and then take 15% off?

    3. Suppose the coupon is for 20% off, rather than for $20 off. What is the final price when you use the coupon with the sale?

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|  --  //  | ||__      / //     -| ||-   |    \\  
|  --  \\  | ||__     / //__    _| ||_   | [] ||  
|______//  |_____||  /_____||  /_____//  |  __//  
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  • 15. Combining a Promotional Code with a Sale

    A shoe store sends you a promotional code that you can use for a discount. (See Example 6.)

    1. What is the percent discount?
    2. The store is having a "60% off" sale on all items. What is the final price when you use the promotional code with the sale?
    • Worked-Out Solution

      1. The discount for the promotional code is

        Compared to original price of $59.80, the discount percent is

      2. When you encounter this type of situation, it is unclear what "60% off" means. Does the store mean 60% off the regular price of $59.80 and then another discount of $14.95? This interpretation seems unlikely.

        More likely is that with the promotional code, the price of the shoes is $44.85. Then, you get to take 60% off of that price.

        So, you should end up paying $17.94.

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  • 16. Combining a Promotional Code with a Sale

    A shoe store sends you a promotional code that you can use for a discount. (See Example 6.)

    1. What is the percent discount?

    2. The store is having a "50% off" sale on all items. What is the final price when you use the promotional code with the sale?

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