大象传媒

Financial mathematics - AQASalary and pay

Financial maths is needed for all jobs, from calculating wages to working out profit, loss and VAT. Knowledge of financial maths is also required to be able to understand bank statements and savings.

Part of MathsNumber

Salary and pay

Salary usually refers to the amount of money a person earns over a year. For example, if a shop assistant has a salary of 拢18,000 per year, his/her monthly pay would be 拢1,500 (\(\pounds18,000 \div 12 \:\text{months}\)). 拢1,500 is the gross pay.

  • Gross pay is the full amount paid to an employee before any deductions are made.
  • Deductions are income tax, national insurance and sometimes pension contributions.
  • Net pay is what's left after deductions have been made from gross pay. This is the amount an employee actually receives.

Example

If the shop assistant has to pay tax at a rate of 20% and has to pay 拢100 national insurance then what is his/her net pay?

Tax to pay = \(\pounds 1,500 \times 0.2 = \pounds 300\)

National insurance deduction = 拢100

Net pay = \(\pounds 1,500 - \pounds 300 - \pounds 100 = \pounds 1,100\)

拢1,100 is their net or 'take home' pay.

Yearly salary: 拢18,000 Monthly gross pay: 拢1,500 Tax rate: 20% Tax deducted: 拢300 NI deducted: 拢100 Monthly net pay: 拢1,100

Deductions

The employee pays income tax directly to the government. It is a percentage of the gross pay depending on how much is earned - the more you earn, the higher the percentage. People earning below a threshold pay level don't need to pay income tax at all.

  • National Insurance is the system of contributions paid by all working people for state benefits such as the NHS, schools and state pension.
  • A pension is a special savings fund that is built up during a working life to provide an income during retirement.

Example

Stephanie鈥檚 pay is 拢420 per week.

She works for 37陆 hours per week.

Work out her hourly rate.

\(\pounds 420 \div 37.5 = \pounds 11.20\)

Question

Stephanie wants to work out her annual salary. She says:

"There are 4 weeks in a month, so I will multiply 拢420 by 4.

There are 12 months in a year, so I will multiply the answer by 12: \(\pounds 420 \times 4 \times 12 = \pounds 20,160\)"

Does her method give the correct amount for her annual salary?