Answer:
Let's break down each part of the question and solve them step by step.
### 6.1 Total Amount After Interest
Sara buys clothes worth R1,800 with an interest rate of 15% per annum.
The formula for the total amount after interest is:
\[ \text{Total Amount} = \text{Principal} \times (1 + \text{Interest Rate}) \]
\[ \text{Total Amount} = R1,800 \times (1 + 0.15) \]
\[ \text{Total Amount} = R1,800 \times 1.15 \]
\[ \text{Total Amount} = R2,070 \]
So, Sara will pay R2,070 after interest is added.
### 6.2 Monthly Payment to Pay Off in One Year
To find out how much Sara needs to pay per month, we divide the total amount by 12 months.
\[ \text{Monthly Payment} = \frac{\text{Total Amount}}{12} \]
\[ \text{Monthly Payment} = \frac{R2,070}{12} \]
\[ \text{Monthly Payment} = R172.50 \]
So, Sara will pay R172.50 per month to pay off the amount in one year.
### 6.3 Savings with a Bank Loan at 14% Interest
First, calculate the total amount she would pay with a 14% interest rate.
\[ \text{Total Amount with Bank Loan} = \text{Principal} \times (1 + \text{Interest Rate}) \]
\[ \text{Total Amount with Bank Loan} = R1,800 \times (1 + 0.14) \]
\[ \text{Total Amount with Bank Loan} = R1,800 \times 1.14 \]
\[ \text{Total Amount with Bank Loan} = R2,052 \]
Now, find the difference between the total amount paid at the store and the total amount paid with the bank loan.
\[ \text{Savings} = \text{Total Amount at Store} - \text{Total Amount with Bank Loan} \]
\[ \text{Savings} = R2,070 - R2,052 \]
\[ \text{Savings} = R18 \]
Sara would save R18 if she had taken a loan from the bank that charges 14% interest per annum.
### 6.4 Monthly Payment Over 6 Months with a Deposit of R600
First, subtract the deposit from the total amount owed after interest to find the remaining balance.
\[ \text{Remaining Balance} = \text{Total Amount} - \text{Deposit} \]
\[ \text{Remaining Balance} = R2,070 - R600 \]
\[ \text{Remaining Balance} = R1,470 \]
Now, divide the remaining balance by 6 months to find the monthly payment.
\[ \text{Monthly Payment} = \frac{\text{Remaining Balance}}{6} \]
\[ \text{Monthly Payment} = \frac{R1,470}{6} \]
\[ \text{Monthly Payment} = R245 \]
So, Sara should pay R245 per month over a 6-month period after paying a deposit of R600.
