Subjects finance

Simple Interest 420820

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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