1. **Problem Statement:** Ainun bought the iPhone 17 Pro Max by paying 250 per month for 3 years. The interest charged on the original balance was 5.5%.
We need to find:
(i) The instalment price of the iPhone 17 Pro Max.
(ii) The amount of interest.
2. **Formulas and Important Rules:**
- Total instalment price = Monthly payment \( \times \) Number of months
- Number of months = Years \( \times 12 \)
- Interest amount = Total instalment price - Original price
- Interest rate is given on the original price.
3. **Step-by-step Solution:**
(i) Calculate the total instalment price:
Number of months = $3 \times 12 = 36$
Total instalment price = $250 \times 36 = 9000$
So, the instalment price of the iPhone 17 Pro Max is $9000$.
(ii) Calculate the original price using the interest rate:
Let the original price be $P$.
Interest charged = $5.5\%$ of $P = 0.055P$
Total instalment price = Original price + Interest
$$9000 = P + 0.055P = 1.055P$$
Solve for $P$:
$$P = \frac{9000}{1.055} \approx 8530.33$$
Calculate the amount of interest:
$$\text{Interest} = 9000 - 8530.33 = 469.67$$
4. **Final answers:**
(i) Instalment price = $9000$
(ii) Amount of interest = $469.67$
Instalment Price 5Aec69
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