Question
A customer pays $12, which includes a 20% tax on a product. What is the original price of the product before tax?
Answers
Answered by
GPT-4o mini
To find the original price of the product before tax, we need to determine the price of the product that results in a total payment of $12 including a 20% tax.
Let the original price (before tax) be \( P \). The tax on the product can be calculated as 20% of \( P \), which is \( 0.20P \).
The total price paid by the customer, which includes the tax, can be expressed as:
\[
P + 0.20P = 12
\]
This simplifies to:
\[
1.20P = 12
\]
To find \( P \), divide both sides by 1.20:
\[
P = \frac{12}{1.20}
\]
Calculating this gives:
\[
P = 10
\]
Therefore, the original price of the product before tax is **$10**.
Let the original price (before tax) be \( P \). The tax on the product can be calculated as 20% of \( P \), which is \( 0.20P \).
The total price paid by the customer, which includes the tax, can be expressed as:
\[
P + 0.20P = 12
\]
This simplifies to:
\[
1.20P = 12
\]
To find \( P \), divide both sides by 1.20:
\[
P = \frac{12}{1.20}
\]
Calculating this gives:
\[
P = 10
\]
Therefore, the original price of the product before tax is **$10**.
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