2.5. How long will it take for an ipvestment of R3 000 at $$ 8 \% $$ p.a. simple interest to earn R960 interest? 2.6. Susan buys a car on hire purghase. The car costs R 130000 . She pays a $$ 10 \% $$ deposit on the cash price and will have to ppy the outstanding amount in equally monthly instalments over a period of 3 years. Calcula e the amount she has to pay monthly.

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### Problem 2.5: Simple Interest Calculation

**Known Conditions:**
- Principal (P) = R3000
- Rate of interest (r) = 8% per annum
- Interest earned (I) = R960

**Formula for Simple Interest:**
The formula for calculating simple interest is given by:
$$
I = P \times r \times t
$$
where:
- $$ I $$ is the interest earned,
- $$ P $$ is the principal amount,
- $$ r $$ is the rate of interest (in decimal),
- $$ t $$ is the time in years.

**Step 1: Convert the interest rate to decimal.**
$$
r = \frac{8}{100} = 0.08
$$

**Step 2: Rearrange the formula to solve for time (t).**
$$
t = \frac{I}{P \times r}
$$

**Step 3: Substitute the known values into the formula.**
$$
t = \frac{960}{3000 \times 0.08}
$$

Now, let's calculate $$ t $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{960}{\left(3000\times 0.08\right)}$$
- step1: Remove the parentheses:
  $$\frac{960}{3000\times 0.08}$$
- step2: Multiply the numbers:
  $$\frac{960}{240}$$
- step3: Reduce the numbers:
  $$\frac{4}{1}$$
- step4: Calculate:
  $$4$$
**Step 4: Calculate the time (t).**
$$
t = 4 \text{ years}
$$

So, it will take **4 years** for an investment of R3000 at 8% p.a. simple interest to earn R960 interest.

---

### Problem 2.6: Hire Purchase Calculation

**Known Conditions:**
- Cash price of the car = R130,000
- Deposit = 10% of the cash price
- Period = 3 years (36 months)

**Step 1: Calculate the deposit.**
$$
\text{Deposit} = 0.10 \times 130000
$$

**Step 2: Calculate the outstanding amount after the deposit.**
$$
\text{Outstanding Amount} = \text{Cash Price} - \text{Deposit}
$$

**Step 3: Calculate the monthly installment.**
The total number of months is 36, so the monthly installment can be calculated as:
$$
\text{Monthly Installment} = \frac{\text{Outstanding Amount}}{36}
$$

Now, let's perform the calculations for the deposit and the outstanding amount.
Calculate the value by following steps:
- step0: Calculate:
  $$0.1\times 130000$$
- step1: Multiply the numbers:
  $$13000$$
Calculate or simplify the expression $$ 130000 - (0.10*130000) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$130000-\left(0.1\times 130000\right)$$
- step1: Multiply the numbers:
  $$130000-13000$$
- step2: Subtract the numbers:
  $$117000$$
Calculate or simplify the expression $$ 117000/36 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{117000}{36}$$
- step1: Reduce the numbers:
  $$\frac{3250}{1}$$
- step2: Calculate:
  $$3250$$
**Step 1: Calculate the deposit.**
$$
\text{Deposit} = R13,000
$$

**Step 2: Calculate the outstanding amount.**
$$
\text{Outstanding Amount} = R117,000
$$

**Step 3: Calculate the monthly installment.**
$$
\text{Monthly Installment} = \frac{117000}{36} = R3,250
$$

So, Susan has to pay **R3,250** monthly for the car on hire purchase.
It will take 4 years for the investment to earn R960 interest. Susan needs to pay R3,250 monthly for the car on hire purchase.

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