1. **Problem:** Find the amount of 800 in 4 years at 6% per annum compound interest.
2. **Formula:** The compound amount is given by
$$ A = P \left(1 + \frac{r}{100}\right)^n $$
where $P$ is the principal, $r$ is the annual interest rate, and $n$ is the number of years.
3. **Given:**
- $P = 800$
- $r = 6$
- $n = 4$
4. **Calculation:**
$$ A = 800 \left(1 + \frac{6}{100}\right)^4 = 800 \left(1 + 0.06\right)^4 = 800 \times 1.06^4 $$
5. Calculate $1.06^4$:
$$ 1.06^4 = 1.06 \times 1.06 \times 1.06 \times 1.06 = 1.26247696 $$
6. Multiply by principal:
$$ A = 800 \times 1.26247696 = 1009.98 $$
7. **Answer:** The amount after 4 years is approximately **1009.98**.
8. To find the compound interest (CI), subtract principal from amount:
$$ CI = A - P = 1009.98 - 800 = 209.98 $$
**Final answer:** The amount is **1009.98** and the compound interest is **209.98**.
Compound Interest 4B7393
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