The price of a cellphone was discounted by 25% and then discounted an additional 20%, to become $348. What was the original price of the cellphone before it was discounted twice?
Correct answer: A. $580.00
- A. $580.00
- B. $620.00
- C. $650.00
- D. $680.00
Explanation
To solve this problem, we need to determine the original price of the cellphone before any discounts were applied. Let's use the variable x to represent the original price.The first discount reduces the price by 25%, meaning the new price is 75% of the original price. This can be expressed as 0.75x.The second discount reduces the price by an additional 20%. Now, the price becomes 80% of the already discounted price, which can be expressed as 0.8 * 0.75x = 0.6x.We know the final price after both discounts is $348, so we set up the equation: 0.6x = 348To find the original price, we solve for x:x = 348 / 0.6 = $580Thus, the original price of the cellphone was $580. Option A is correct because it matches this solution. The other options are incorrect because they do not lead to $348 after applying the sequential discounts.
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