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To calculate Lucas's monthly payments, let's break down the problem step by step.

### Information given:
- The cost of the screen = R3,500
- Deposit = 15%
- Remaining amount will be paid over 24 months
- Interest = 9.5% per annum (simple interest)

### Step 1: Calculate the deposit
Deposit = 15% of R3,500

\[
\text{Deposit} = 0.15 \times 3500 = 525
\]

Lucas will pay R525 upfront as the deposit.

### Step 2: Calculate the balance to be paid through monthly payments
After the deposit, the remaining amount is:

\[
\text{Remaining balance} = 3500 - 525 = 2975
\]

### Step 3: Calculate the interest
The interest is calculated as simple interest over 2 years (24 months). The formula for simple interest is:

\[
\text{Interest} = P \times r \times t
\]

Where:
- \( P \) is the principal (R2,975),
- \( r \) is the annual interest rate (9.5% = 0.095),
- \( t \) is the time in years (2 years).

\[
\text{Interest} = 2975 \times 0.095 \times 2 = 565.25
\]

### Step 4: Calculate the total amount to be repaid
The total amount Lucas will repay is:

\[
\text{Total repayment} = \text{Principal} + \text{Interest} = 2975 + 565.25 = 3540.25
\]

### Step 5: Calculate the monthly payment
Lucas will make 24 monthly payments, so the monthly payment is:

\[
\text{Monthly payment} = \frac{3540.25}{24} = 147.51
\]

Thus, Lucas's monthly payments will be **R147.51**.

Would you like more details on any part of this? Here are some related questions to explore:

1. How does simple interest differ from compound interest?
2. How would the monthly payment change if the interest rate were compounded monthly?
3. What if the deposit was a different percentage—how would that affect the monthly payment?
4. What is the total interest paid over the 24 months?
5. How can Lucas minimize interest payments when purchasing through hire purchase?

**Tip**: Paying a larger deposit upfront reduces the total interest paid, as the loan amount is lower.

Lucas wants to buy an additional screen for his computer, which he saw advertised for R3 500 on the Internet. There is an option of paying a 15% deposit and then making 24 monthly payments using a hire purchase agreement, where interest is calculated at 9.5% p.a. simple interest. Calculate what Lucas's monthly payments will be.

Learn how to calculate monthly payments for a hire purchase agreement with simple interest. This problem covers key mathematical concepts such as deposit calculations, simple interest formula, and hire purchase agreements. Suitable for students in Grades 8-10.

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