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.

Let X be Priya's total income before tax.

Her income tax is 12/100 * X = $52.50.
So X = $52.50 / (12/100) = $437.50.
Therefore, Priya's total income before tax is $437.50. Answer: \boxed{437.50}.

is this right

hey bot, is this right

bot

hey bot!

To solve this problem, we need to find the total income before tax knowing the deducted amount and the income tax rate. Here's how we can calculate it:

Let's assume Priya's total income before tax is x dollars.

We know that Priya's income tax rate is 12%, which means 12% of x is deducted from their paycheck.

The amount deducted from Priya's paycheck, $52.50, is equal to 12% of their total income before tax.

So, we can set up the following equation:

12% of x = $52.50

To solve for x, we need to convert the percentage to a decimal. Since 12% is equivalent to 0.12, we can rewrite the equation as:

0.12x = $52.50

Now, we can isolate x by dividing both sides of the equation by 0.12:

x = $52.50 / 0.12

By performing the calculation:

x = $437.50

Therefore, Priya's total income before tax is $437.50.

To summarize:

Priya's total income before tax = (Amount deducted from paycheck) / (Income tax rate as a decimal)
= $52.50 / 0.12
= $437.50