1. **Problem Statement:** Ahmad invests 5500 at a simple interest rate of 4.5% per annum.
a) Calculate the exact time in days from 15th March 2025 to 20th August 2025.
b) Using the exact time, find the ordinary interest earned.
2. **Formula for Simple Interest:**
$$I = P \times r \times t$$
where $I$ is interest, $P$ is principal, $r$ is annual interest rate (decimal), and $t$ is time in years.
3. **Step a) Calculate exact time in days:**
- From 15 March to 31 March: $31 - 15 = 16$ days
- April: 30 days
- May: 31 days
- June: 30 days
- July: 31 days
- From 1 August to 20 August: 20 days
Total days = $16 + 30 + 31 + 30 + 31 + 20 = 158$ days
4. **Convert days to years:**
$$t = \frac{158}{365} \approx 0.4329 \text{ years}$$
5. **Step b) Calculate ordinary interest:**
$$I = 5500 \times 0.045 \times 0.4329 = 107.11$$
So, the interest earned is approximately 107.11.
**Final answers:**
- Exact time: 158 days
- Ordinary interest earned: 107.11
Simple Interest Ahmad 2Dd177
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