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Clarice Sloan is a shift supervisor for Ace
Tomato Inc. She is paid monthly with FIT
deductions of $102, SIT of 3.2% of gross,
and CIT of 1.8% of gross. Her monthly
net pay is $3,804.33. What is her monthly
gross pay?

Sagot :

MrRoyal

The net pay is the amount left after taxes and deductions have been removed from the gross pay.

Her monthly gross pay is: $4111.93

The deductions are:

[tex]\mathbf{FIT = \$102}[/tex]

[tex]\mathbf{SIT = 3.2\%}[/tex]

[tex]\mathbf{CIT = 1.8\%}[/tex]

Let her gross pay be x.

So, we have:

[tex]\mathbf{Net = x - FIT - x \times SIT - x \times CIT}[/tex]

So, we have:

[tex]\mathbf{3804.33 = x - 102 - x \times 3.2\%- x \times 1.8\%}[/tex]

Express percentage as decimals

[tex]\mathbf{3804.33 = x - 102 - x \times 0.032- x \times 0.018}[/tex]

[tex]\mathbf{3804.33 = x - 102 - 0.032x - 0.018x}[/tex]

Add 102 to both sides

[tex]\mathbf{3906.33 = x - 0.032x - 0.018x}[/tex]

[tex]\mathbf{3906.33 = 0.95x}[/tex]

Divide both sides by 0.95

[tex]\mathbf{4111.93 = x}[/tex]

Rewrite as:

[tex]\mathbf{x = 4111.93 }[/tex]

Hence, her monthly gross pay is: $4111.93

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