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.
-$437.50
$437.50
Let's assume Priya's total income before tax is x.
We know that Priya's income tax rate is 12%, so the amount deducted from her paycheck can be found by multiplying her income before tax by the tax rate:
12% * x = $52.50
To solve for x, we can divide both sides of the equation by 12% (which is the same as dividing by 0.12):
x = $52.50 / 0.12
x ≈ $437.50
Therefore, Priya's total income before tax is approximately $437.50.
is this right
Apologies for the misunderstanding. Let's reassess the problem to ensure accuracy.
Given that $52.50 is deducted from Priya's paycheck and the income tax rate is 12%, we need to determine Priya's total income before tax.
Let x represent Priya's total income before tax. We know that 12% of x is equal to $52.50.
12% of x = $52.50
To isolate x, we can divide both sides of the equation by 12%.
x = $52.50 / 0.12
By performing the calculation, we find:
x ≈ $437.50
Therefore, Priya's total income before tax is approximately $437.50.
To find Priya's total income before tax, we need to determine the amount that was deducted from their paycheck, and then calculate the total income before that deduction.
Let's start by setting up the equation:
Total Income = Income before tax + Deduction
We are given that Priya had $52.50 deducted from their paycheck, so we can substitute the value for the deduction:
Total Income = Income before tax + $52.50
Now, we need to determine the income tax rate. The problem states that Priya's income tax rate is 12%, so we can write it as a decimal: 0.12.
Since the income tax is a percentage of the total income before tax, we can represent it as:
Income tax = 0.12 * Income before tax
We know that the income tax is equal to the deduction, so we can set up another equation:
0.12 * Income before tax = $52.50
Now we can solve for Income before tax:
Income before tax = $52.50 / 0.12
Calculating the division:
Income before tax = $437.50
Therefore, Priya's total income before tax is $437.50.