Simple Interest 420820
1. **Problem Statement:** Syuhada needs to borrow 85000 for 9 months. We are to find the simple interest at two different rates: 18.5% and 10%, and then calculate the amount saved by using the lower interest rate.
2. **Formula for Simple Interest:**
$$\text{Simple Interest} = P \times r \times t$$
where $P$ is the principal amount, $r$ is the annual interest rate (in decimal), and $t$ is the time in years.
3. **Convert time to years:**
Since 9 months = $\frac{9}{12} = 0.75$ years.
4. **Calculate interest at 18.5%:**
$$P = 85000, \quad r = 0.185, \quad t = 0.75$$
$$\text{Interest} = 85000 \times 0.185 \times 0.75 = 11793.75$$
5. **Calculate interest at 10%:**
$$r = 0.10$$
$$\text{Interest} = 85000 \times 0.10 \times 0.75 = 6375$$
6. **Calculate amount saved:**
$$\text{Amount saved} = 11793.75 - 6375 = 5418.75$$
**Final answers:**
- Interest at 18.5% = 11793.75
- Interest at 10% = 6375
- Amount saved = 5418.75