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A swimsuit is in sale for 45.50. if the sales price is discounted 5%from the orginal price. what was the original price. round to the nearest cent



1 Answer

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Final answer:

To find the original price of the swimsuit, divide the sale price of $45.50 by 0.95, resulting in an original price of $47.89.

Step-by-step explanation:

To find the original price of an item before a discount, we need to divide the sale price by the percentage of the price that remains after the discount is applied. In this case, the swimsuit is on sale for $45.50 after a 5% discount. Since a 5% discount means the customer pays 95% of the original price, we first convert this percentage to a decimal by dividing 5 by 100, which gives us 0.05. We subtract this from 1 to get 0.95. Then, we divide the sale price by 0.95 to find the original price:

$45.50 ÷ 0.95 = $47.89 (rounded to the nearest cent).

Therefore, the original price of the swimsuit was $47.89.

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