High School

\[
\begin{tabular}{|l|l|l|l|l|}
\hline
\multicolumn{2}{|l|}{Branch Springbok} & & \multicolumn{2}{|l|}{Statement period: August 31 - September 30, 2024} \\
\hline
Date & Transaction Description & Debits (R) & Credits (R) & Balance (R) \\
\hline
01/09/2024 & (1.1) & & & 14,000.00 \\
\hline
03/09/2024 & POS: Chockers & 235.65 & & (1.2) \\
\hline
15/09/2024 & Commission on sales & & 7,852.00 & 21,616.35 \\
\hline
16/09/2024 & Car Installment & (1.3) & & 18,161.35 \\
\hline
16/09/2024 & Airtime: Vodacom & 255.00 & & 17,906.35 \\
\hline
18/09/2024 & Clicks & 392.25 & & 17,514.10 \\
\hline
25/09/2024 & Salary & & (1.4) & 32,014.10 \\
\hline
26/09/2024 & Apartment rental & 6,500.00 & & 25,514.10 \\
\hline
31/09/2024 & Bank statement costs & (1.5) & & 25,281.10 \\
\hline
31/09/2024 & FINAL BALANCE & & & 25,281.10 \\
\hline
\end{tabular}
\]

Note: Electronic bank statements are $45\%$ cheaper than regular statements.

*Adapted from Capitec bank statement*

Use the information above to answer the questions that follow.

1.1 What is the description that was left out on September 01, 2024?
(2)

1.2 Calculate what the account balance will be on September 03, 2024.
(2)

1.3 How much money does Mr. Cloete spend on his car payment?
(2)

1.4 How much does Mr. Cloete earn monthly as a sales clerk at PEP?
(2)

1.5 Calculate what the cost of the bank statement will be as a percentage rounded to two decimal places.
(4)

1.6 Determine the amount of Mr. Cloete's sales for the month of September if the commission is calculated at $7\%$ of sales. Round your answer to the nearest cent.
(4)

Answer :

Let's solve the questions one by one using the information from the bank statement.

1.1 Transaction Description on September 01, 2024: The initial description left out typically indicates the starting balance. Therefore, the description for September 01, 2024, should be something like "Opening Balance".

1.2 Calculate the Account Balance on September 03, 2024:

  • Starting balance on September 01, 2024: R14,000.00
  • Debit on September 03, 2024: R235.65

To find the balance after the transaction on September 03, subtract the debit from the starting balance:

[tex]\text{Balance on September 03} = 14,000.00 - 235.65 = 13,764.35[/tex]

1.3 Car Payment on September 16, 2024:

  • Balance before car installment: R21,616.35
  • Balance after car installment: R18,161.35

The car installment amount is the difference between these balances:

[tex]\text{Car Installment} = 21,616.35 - 18,161.35 = 3,455.00[/tex]

1.4 Salary as a Sales Clerk:

  • Balance before salary on September 25, 2024: R17,514.10
  • Balance after salary on September 25, 2024: R32,014.10

The salary is the difference between these balances:

[tex]\text{Salary} = 32,014.10 - 17,514.10 = 14,500.00[/tex]

1.5 Cost of the Bank Statement:

  • Balance before statement costs on September 31, 2024: R25,514.10
  • Final balance after statement costs on September 31, 2024: R25,281.10

The difference is the statement cost:

[tex]\text{Statement Cost} = 25,514.10 - 25,281.10 = 233.00[/tex]

To find the cost as a percentage of the electronic statement (45% cheaper), divide the cost by (1 - 0.45) to find the regular cost (as there might be a need for the detail):

Let [tex]x[/tex] be the regular cost.

[tex]0.55x = 233.00[/tex]

[tex]x = \frac{233.00}{0.55} \approx 423.64[/tex]

Therefore, the cost percentage:

[tex]\text{Percentage cost} = \left( \frac{233.00}{423.64} \times 100 \right) \approx 54.98\%[/tex]

1.6 Total Sales for September:

  • Commission on sales: R7,852.00
  • Commission rate: 7%

Let [tex]S[/tex] be the total sales.

[tex]0.07 \times S = 7,852.00[/tex]

[tex]S = \frac{7,852.00}{0.07} = 112,171.43[/tex]

Therefore, Mr. Cloete's total sales for the month of September is R112,171.43 rounded to the nearest cent.