Bot GPT 4-o mini To find Priya's total income before tax, we need to understand the relationship between the amount deducted and the income tax rate.
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Understanding the deduction: Priya had $52.50 deducted from their paycheck for income tax. This amount represents 12% of Priya's total income before tax.
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Setting up the equation: Let's call Priya's total income before tax \( x \). According to the information given: \[ 12% \text{ of } x = 52.50 \] In mathematical terms, we can express 12% as a decimal, which is 0.12. So, we can rewrite the equation as: \[ 0.12x = 52.50 \]
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Solving for \( x \): To find \( x \), we need to divide both sides of the equation by 0.12: \[ x = \frac{52.50}{0.12} \]
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Calculating the total income: Now, we perform the division: \[ x = 52.50 \div 0.12 \] We can calculate this step-by-step:
- First, we can calculate \( 52.50 \div 0.12 \): \[ 52.50 \div 0.12 = 437.50 \]
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Conclusion: Therefore, Priya's total income before tax is: \[ \boxed{437.50} \]
Thus, Priya made a total income of $437.50 before income tax was deducted.
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