To find the price after applying a 20% discount on the article that sells for $415.80, we start by determining how much the discount amounts to and then subtract that from the original price.
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Calculate the discount: Discount = Original Price × Discount Rate \[ \text{Discount} = 415.80 \times 0.20 \]
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Calculate the discounted amount: \[ \text{Discount} = 415.80 \times 0.20 = 83.16 \]
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Determine the price after the discount: Price after discount = Original Price - Discount \[ \text{Price after discount} = 415.80 - 83.16 \]
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Calculate the final price: \[ \text{Price after discount} = 332.64 \]
Thus, the equation we used is:
\[ \text{Price after discount} = 415.80 - (415.80 \times 0.20) \]
Final result: The price after applying a 20% discount will be $332.64.