Tax rates for individuals: 2013/2014 tax year

\begin{tabular}{|r|r|l|}
\hline
\multicolumn{1}{|l|}{Taxable income} & \multicolumn{2}{|c|}{Tax Payable} \\
\cline{1-1}
Rand & \multicolumn{2}{|c|}{18\% of each R1} \\
\hline
[tex]$0-165600$[/tex] & R 29808 & +25\% of the amount above R165600 \\
\hline
[tex]$258751-358110$[/tex] & R 53096 & +30\% of the amount above R258750 \\
\hline
[tex]$358111-500940$[/tex] & R 82904 & +35\% of the amount above R358110 \\
\hline
[tex]$500941-638600$[/tex] & R 132894 & +38\% of the amount above R500940 \\
\hline
[tex]$638601$[/tex] and above & R 185205 & +40\% of the amount above R638600 \\
\hline
\end{tabular}

Source: National Treasury, March 2013.

1. Calculate how much tax an individual on an annual salary of R325,000 per year would pay. (3)

2. Calculate the average rate of tax paid by the individual earning R325,000 per year. (2)



Answer :

Certainly! Let's solve the problem step-by-step.

### Q.3.9.1 Calculate how much tax an individual on an annual salary of R325,000 per year, would pay.

1. Determine the applicable tax bracket:
- The annual salary of R325,000 places the individual in the tax bracket for R258,751 to R358,110.

2. Apply the base tax and additional taxable income:
- From the tax brackets, we know:
- For an income up to R165,600: The tax payable is R29,808 (calculated already in the base tax).
- For an income between R165,601 and R258,750: Additional 25% of the amount above R165,600.
- For an income between R258,751 and R358,110: The base tax for this bracket is R53,096, plus 30% of the amount above R258,750.

3. Calculate the tax payable for an income of R325,000:
- The base tax amount for the R258,751 to R358,110 bracket is R53,096.
- Amount above R258,750 within this bracket:
[tex]\( R325,000 - R258,750 = R66,250 \)[/tex]

- Calculating the additional tax:
[tex]\( 30\% \, \text{of} \, R66,250 = 0.30 \times 66,250 = R19,875 \)[/tex]

- Total tax payable:
[tex]\( R53,096 + R19,875 = R72,971 \)[/tex]

So, the tax an individual on an annual salary of R325,000 has to pay is R72,971.

### Q.3.9.2 Calculate the average rate of tax paid by the individual earning R325,000 per year.

1. Tax paid:
- The tax payable on an annual salary of R325,000 is R72,971.

2. Annual salary:
- The annual salary is R325,000.

3. Average tax rate calculation:
- The average tax rate is calculated as:
[tex]\[ \text{Average tax rate} = \left( \frac{\text{Tax paid}}{\text{Annual salary}} \right) \times 100 \][/tex]
[tex]\[ \text{Average tax rate} = \left( \frac{72,971}{325,000} \right) \times 100 = 0.22452615384615385 \times 100 \approx 22.45\% \][/tex]

Therefore, the average rate of tax paid by the individual earning R325,000 per year is approximately 22.45%.