Investment Principal 0Af006
1. **Stating the problem:** A man invested a certain amount at 5% per annum interest. After 1 year, the total amount in the bank is 840000 cedis. We need to find the principal (the amount he initially invested).
2. **Formula used:** The total amount $A$ after 1 year with simple interest is given by:
$$A = P + P \times r \times t = P(1 + rt)$$
where $P$ is the principal, $r$ is the rate of interest per annum (in decimal), and $t$ is the time in years.
3. **Given values:**
- $A = 840000$
- $r = 5\% = 0.05$
- $t = 1$ year
4. **Substitute the values into the formula:**
$$840000 = P(1 + 0.05 \times 1) = P(1 + 0.05) = P(1.05)$$
5. **Solve for $P$:**
$$P = \frac{840000}{1.05}$$
6. **Calculate:**
$$P = 800000$$
**Answer:** The man invested 800000 cedis.