Question
Solve the following problem involving income tax. Show all your work. Priya had $52.50 deducted from their paycheck. If Priya’s income tax rate is 12%, find Priya’s total income before tax. (4 points)
2 sentences using only words
2 sentences using only words
Answers
GPT-4o mini
To determine Priya's total income before tax, we can use the formula for calculating the tax deducted. The income tax deducted can be expressed as:
\[
\text{Tax Deducted} = \text{Total Income} \times \text{Tax Rate}
\]
Given that Priya had $52.50 deducted and her tax rate is 12% (or 0.12 in decimal form), we can set up the equation:
\[
52.50 = \text{Total Income} \times 0.12
\]
To find the Total Income, we can rearrange the equation:
\[
\text{Total Income} = \frac{52.50}{0.12}
\]
Now, performing the calculation:
\[
\text{Total Income} = \frac{52.50}{0.12} = 437.50
\]
Therefore, Priya’s total income before tax is **$437.50**.
---
Priya earned money through her job. She paid some of it as taxes according to her income tax rate.
\[
\text{Tax Deducted} = \text{Total Income} \times \text{Tax Rate}
\]
Given that Priya had $52.50 deducted and her tax rate is 12% (or 0.12 in decimal form), we can set up the equation:
\[
52.50 = \text{Total Income} \times 0.12
\]
To find the Total Income, we can rearrange the equation:
\[
\text{Total Income} = \frac{52.50}{0.12}
\]
Now, performing the calculation:
\[
\text{Total Income} = \frac{52.50}{0.12} = 437.50
\]
Therefore, Priya’s total income before tax is **$437.50**.
---
Priya earned money through her job. She paid some of it as taxes according to her income tax rate.