Problem 8 - Accounting

Question

An employee earns \(\$ 22\) per hour and \(11 / 2\) times that rate for all hours in excess of 40 hours per week. Assume that the employee worked 50 hours during the week, and that the gross pay prior to the current week totaled \(\$ 42,710\). Assume further that the social security tax rate was \(6.0 \%\) (on earnings up to \(\$ 100,000\) ), the Medicare tax rate was \(1.5 \%\), and federal income tax to be withheld was \(\$ 236\). a. Determine the gross pay for the week. b. Determine the net pay for the week.

Step-by-Step Solution

Answer

The gross pay for the week is \$2,090, and the net pay is \$1,697.25.

Step 1: Calculate Regular Pay

The employee earns \\(22 per hour for the first 40 hours. So, the regular pay would be:\[\text{Regular Pay} = 40 \times 22 = \\)880.\]

Step 2: Calculate Overtime Pay

For overtime, the employee earns \(\frac{11}{2}\) times the regular rate for hours beyond 40. So, first, calculate the overtime rate:\[\text{Overtime Rate} = 22 \times \frac{11}{2} = \\(121.\]Then, calculate the overtime pay for the 10 excess hours:\[\text{Overtime Pay} = 10 \times 121 = \\)1,210.\]

Step 3: Determine Gross Pay for the Week

The gross pay for the week is the sum of the regular pay and the overtime pay:\[\text{Gross Pay} = 880 + 1,210 = \$2,090.\]

Step 4: Calculate Social Security Tax

The social security tax is \(6\%\) of the weekly earnings:\[\text{Social Security Tax} = 0.06 \times 2,090 = \$125.40.\]

Step 5: Calculate Medicare Tax

The Medicare tax is \(1.5\%\) of the weekly earnings:\[\text{Medicare Tax} = 0.015 \times 2,090 = \$31.35.\]

Step 6: Deduct Taxes to Find Net Pay

Subtract the total taxes and federal tax from the gross pay to find the net pay:\[\text{Total Deductions} = 125.40 + 31.35 + 236 = \\(392.75.\]Then, calculate the net pay:\[\text{Net Pay} = 2,090 - 392.75 = \\)1,697.25.\]

Key Concepts

Gross Pay

Gross pay is essentially the total amount of money an employee earns before any deductions are made. It takes into account the regular wages for the standard 40-hour workweek plus any additional earnings from overtime hours. This is the unfiltered portion of an employee's paycheck.
Calculating gross pay involves a few simple steps:

• Determine the standard hourly rate and multiply it by the number of regular hours worked.
• Add the amount earned from any overtime hours, which might be paid at a higher rate.

In this scenario, the employee worked 50 hours in total. The regular pay applies to the first 40 hours, calculated as 40 hours times the hourly rate of $22, which equals $880. For the remaining 10 hours, the employee earns at an overtime rate of $121 per hour (which is 1.5 times their usual rate). Thus, the overtime pay is 10 times $121, totaling $1,210.
Putting it all together, the gross pay for the week is $880 (regular pay) + $1,210 (overtime pay) = $2,090.

Net Pay

Net pay is the amount an employee takes home after all deductions have been subtracted from their gross pay. It is also known as "take-home pay." Understanding this concept is crucial, as it impacts everyday financial decisions and lifestyle.
Net pay is calculated by subtracting the total amount of deductions from the gross pay. Deductions typically include federal and state taxes, social security, Medicare taxes, and possibly other contributions like retirement plans or healthcare premiums. In this specific case, we consider:

• Social Security Tax
• Medicare Tax
• Federal Income Tax

Once calculated, these deductions amount to $392.75. Therefore, the net pay for the employee becomes $2,090 (gross pay) minus $392.75 (total taxes), which equals $1,697.25. This figure represents the real, spendable income an employee receives.

Overtime Pay

Overtime pay refers to the additional compensation given to employees who work more than the standard 40-hour workweek. It serves as an incentive and compensation for the extra hours worked.
To determine overtime pay, it's important to first identify the overtime rate, often more than the standard hourly rate. In many cases, this rate is 1.5 times the usual rate. In our example, the employee earns $22 per regular hour and $121 per overtime hour, calculated as $22 times 1.5 (or $22 times 11/2 considering specifics). The extra 10 hours worked beyond the standard 40 are paid under this rate, leading to an overtime pay of $1,210.
Overtime compensation positively influences the gross pay, providing a financial buffer for employees who put in extra effort and time.

Tax Deductions

Tax deductions are amounts that are subtracted from your gross salary to calculate the net salary. They ensure that employees contribute their fair share to government resources.
The main types of taxes deducted from a paycheck include:

• Social Security Tax: A 6% deduction aimed at funding the social security program.
• Medicare Tax: A 1.5% deduction to support healthcare services for the elderly.
• Federal Income Tax: A fixed deduction, $236 in this instance.

These deductions add up to $392.75 in this example. They are instrumental in determining the net pay part of an employee's income. Understanding tax deductions helps employees anticipate their take-home pay and plan their finances accordingly.
Overall, while tax deductions may reduce the paycheck directly received, they support essential services and benefits that contribute to societal welfare.