The final price of a digital camera online is 24.9% more than the listed price when taxes, shipping, and handling fees are included. If the final price is $693.05, what is the listed price of the digital camera?(Round your answer to the nearest cent, which means to the hundredth place, which is two places after the decimal. Don't include the dollar sign.)
Question
The final price of a digital camera online is 24.9% more than the listed price when taxes, shipping, and handling fees are included. If the final price is $693.05, what is the listed price of the digital camera?(Round your answer to the nearest cent, which means to the hundredth place, which is two places after the decimal. Don't include the dollar sign.)
Solution 1
To solve this problem, we need to understand that the final price is made up of the listed price plus 24.9% of the listed price. This can be represented by the equation:
Final Price = Listed Price + 0.249 * Listed Price
We know the final price is $693.05, so we can substitute that into the equation:
$693.05 = Listed Price + 0.249 * Listed Price
To simplify this equation, we can combine like terms:
$693.05 = 1.249 * Listed Price
Now, to solve for the listed price, we can divide both sides of the equation by 1.249:
Listed Price = $693.05 / 1.249
Doing the division, we find that the listed price is approximately $554.88.
Solution 2
To solve this problem, we need to understand that the final price is made up of the listed price plus 24.9% of the listed price. This can be represented by the equation:
Final Price = Listed Price + 0.249 * Listed Price
We know the final price is $693.05, so we can substitute that into the equation:
$693.05 = Listed Price + 0.249 * Listed Price
To simplify this equation, we can combine like terms:
$693.05 = 1.249 * Listed Price
Now, to solve for the listed price, we can divide both sides of the equation by 1.249:
Listed Price = $693.05 / 1.249
Doing the division, we find that the listed price is approximately $554.88.
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