Simple Interest F3Fefd
1. **State the problem:** IJX Company borrows money at an interest rate of 10% per year for 54 days and the interest accrued is 1560. We need to find the principal amount borrowed.
2. **Formula used:** The simple interest formula is
$$I = P \times r \times t$$
where:
- $I$ is the interest earned,
- $P$ is the principal amount,
- $r$ is the annual interest rate (in decimal),
- $t$ is the time period in years.
3. **Convert time to years:** Since the time is given in days, convert it to years by dividing by 365:
$$t = \frac{54}{365}$$
4. **Substitute known values:**
$$1560 = P \times 0.10 \times \frac{54}{365}$$
5. **Solve for $P$:**
$$P = \frac{1560}{0.10 \times \frac{54}{365}} = \frac{1560}{0.10 \times 0.147945} = \frac{1560}{0.0147945} \approx 105,441.18$$
6. **Answer:** The principal amount borrowed is approximately 105441.18.