James is considering buying a car for R140 000. The bank has quoted him an interest rate of
12% per annum, compounded monthly. If he wishes to repay the principal amount over 50 months.
Calculate his monthly instalment?

To calculate James's monthly instalment, we can use the formula for the monthly payment on an amortizing loan:

\[
M = \frac{P \times r \times (1 + r)^n}{(1 + r)^n - 1}
\]

Where:
- \( M \) is the monthly payment.
- \( P \) is the principal amount (R140,000).
- \( r \) is the monthly interest rate (annual interest rate divided by 12).
- \( n \) is the total number of payments (50 months).

Let's plug in the values:

- \( P = 140,000 \) Rands
- Annual interest rate = 12%, so monthly interest rate \( r = \frac{12\%}{12} = 0.01 \)
- \( n = 50 \) months

Now, we'll calculate the monthly payment \( M \).James's monthly instalment would be approximately **R3,571.78**.

Would you like more details or have any other questions? Here are some related questions you might consider:

1. How does the interest rate impact the monthly payment?
2. What would happen if James chose a shorter repayment period, like 36 months?
3. How much total interest will James pay over the 50 months?
4. What is the formula for calculating the total cost of the loan?
5. How does the compound interest formula differ from the simple interest formula?

**Tip:** When dealing with loans, understanding the difference between simple and compound interest is crucial, as compound interest can significantly increase the total amount you repay.

James is considering buying a car for R140 000. The bank has quoted him an interest rate of 12% per annum, compounded monthly. If he wishes to repay the principal amount over 50 months. Calculate his monthly instalment?

Learn how to calculate the monthly instalment for a car loan of R140,000 with a 12% annual interest rate, compounded monthly, over 50 months. This solution uses the loan amortization formula and explores the impact of compound interest on loan repayments. Perfect for students in Grades 10-12 or those interested in personal finance.

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