Household finance - WJECNational Insurance and Income Tax – Higher tier

Buying or renting a home can be an expensive task. Thinking about the maths behind household finance now will help you in the future when you move into your own property.

Part ofMaths Numeracy (WJEC)Number

National Insurance and Income Tax – Higher tier

National Insurance

National Insurance (NI) is a tax you pay on money you earn.

Example

Here is an extract from a government website regarding NI.

A table showing an extract from a government website regarding national insurance

Emyr works for a local company and is paid £475 per week. Owain is self-employed and also earns £475 per week. What is the difference in the amount of NI they pay?

Emyr and Owain both pay 0% on the first £155.

They both earn £475 per week:

£475 - £155 = £320.

So this is the amount on which they pay NI.

Emyr pays 12% of this = 12 ÷ 100 × 320 = £38.40.

Owain pays 9% of this = 9 ÷ 100 × 320 = £28.80.

Difference:

£38.40 − £28.80 = £9.60

Another solution

Another way would be to calculate 3% of £320 (difference between 12% and 9%). 3% of £320 = 3 ÷ 100 × 320 = £9.60.

Income tax

Here are income tax details for 2015-16, taken from a money advice website. It splits wages into bands and a percentage tax is paid on each of those bands.

So if you earned £100,000 , your pay would be split like this:

  • First band – £0 - £10,600
  • Second band – £10,600 - £42,385
  • Third band – £42,385 - £100,000
A table showing wages split into bands and the corresponding income tax rate

Example

Rhodri earns a salary of £72,495 per year. Calculate the amount of tax he has to pay in one year. Then calculate how much tax he will pay each week (to the nearest penny).

Solution

His salary is split into three bands:

First band

He pays 0% tax on the first £10,600.

Second band

He pays 20% on £10,600 to £42,385.

£42,385 − £10,600 = £31,785.

20 ÷ 100 × £31,785 = £6,357.

Third band

He pays 40% on £42,385 to £72,495.

£72,495 − £42,385 = £30,110.

40 ÷ 100 × £30,110 = £12,044.

Total tax per year = £6,357 + £12,044 = £18,401.

Tax per week = £18,401 ÷ 52 = £353.8653846 = £353.87 (nearest penny).