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31 May, 05:18

A wagon is on sale for 20% off. The sale price of the wagon is $114. What was the original price of the wagon, assuming no sales tax is paid on the item? Round your answer to the nearest cent.

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  1. 31 May, 05:43
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    The 114 represents 80% of the total price before the sale. You would set up your equation as

    Cost Price * 80% = Sale Price.

    Sale Price = 114

    80% = 80/100 = 0.8

    Cost Price = 114/0.8

    Cost Price = 142.50 which is the price before the deduction. You can confirm this by taking 20% of 142.50 and subtracting it form 142.50

    20% * 142.50

    20/100 * 142.50

    2850/100

    28.50

    Now subtract 28.50 from 142.50

    142.50 - 28.50 = 114 which is just what you might expect.
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