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If the sale price of an item is $75 after a 20% discount, we want to find the original price.
Let’s assume the original price is ‘x’ dollars.
The discount is 20%, which means we take away 20% of the original price to get the sale price. To calculate the discount amount, we multiply the original price by 20% (which is 0.20).
Discount amount = x * 0.20
To find the sale price, we subtract the discount amount from the original price:
Sale price = x – (x * 0.20)
According to the given information, the sale price is $75.
So, we can set up an equation:
$75 = x – (x * 0.20)
Now, let’s simplify the equation:
$75 = x – 0.20x
We can combine like terms:
$75 = 0.80x
To find the value of ‘x’, we divide both sides of the equation by 0.80:
$75 / 0.80 = x
Calculating this, we get:
$93.75 = x
Therefore, the original price of the item was $93.75.