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Given the discounted price, the original price can be calculated as:
discounted price / (100% - d) where d is the discount rate in percent.
Discount is usually expressed as a percentage of the original price.
Suppose the original price of a book is $100 and it is discounted 20%, then the discount is:
discount = 20% x $100 = $20
Hence, the discounted price is $100 - $20 = $80.
More general, let:
q = original price
p = discounted price
d = discount rate in %
Hence,
p = (100% - d) x q
Therefore, if the discounted price is given and you want to know the original price, we need to re-arrange the formula as:
q = p / (100% - d)
Example: The discounted price = $60 and the store says the discount is 30%. Hence, the original price is:
q = 60 / (100% - 30%)
= 60 / 70% = 60 / 0.7 = $85.7
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