A new cell phone has a purchase price of $225. With the extended warranty, the total cost comes to $289. What percent of the purchase price is the price of the warranty? a. 28% b. 22% c. 25% d. 20% Please select the best answer from the choices provided A B C D.

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Answer:

B (22%) is the answer.

Skills needed: Financial Math, Percentage Computations

Step-by-step explanation:

1) First, let's calculate the cost of the extended warranty. That would be the new price minus the old price.

    - This is due to the fact that the new price is phone + warranty, while the old price is just the phone.

    - So [tex]\text{new price } - \text{old price} = 289-225=64[/tex]...warranty=64$

2) The warranty is 64 dollars. To find out what percent of the cost it takes up, we do [tex]\frac{warranty}{totalprice}[/tex] --> In this case, the [tex]totalprice[/tex] is the new price, since the warranty is included in this price.

    - Our fraction would be: [tex]\frac{64}{289}[/tex]

    - Divide this out, you get a decimal of: 0.2214...

    - To get a percent, multiply by the decimal by 100, and it is [tex]22.14[/tex]%

22.14 rounds to 22, so 22% is the answer, and that is b.

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A) 28% not B.

Step-by-step explanation:

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