To calculate the price after a 5% discount is applied to the original price \( p \), you can follow these steps:
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Calculate the amount of discount: The discount amount can be calculated as 5% of \( p \), which is \( 0.05p \).
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Subtract the discount from the original price: To find the price after the discount, you subtract the discount amount from the original price: \[ p - 0.05p \]
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Simplify the expression: This can be simplified further: \[ p - 0.05p = (1 - 0.05)p = 0.95p \]
Thus, the expression that represents the price after the discount but before tax is \( 0.95p \).