1. **State the problem:** Hiran invests 20000 rupees at an interest rate of 1.5% per year compounded annually for 3 years. We need to find the total amount in the account after 3 years.
2. **Formula used:** The compound interest formula is
$$A = P \left(1 + \frac{r}{100}\right)^n$$
where:
- $A$ is the amount after $n$ years,
- $P$ is the principal amount (initial investment),
- $r$ is the annual interest rate (in percent),
- $n$ is the number of years.
3. **Substitute the values:**
$$P = 20000, \quad r = 1.5, \quad n = 3$$
So,
$$A = 20000 \left(1 + \frac{1.5}{100}\right)^3 = 20000 \left(1 + 0.015\right)^3 = 20000 \times 1.015^3$$
4. **Calculate the power:**
$$1.015^3 = 1.015 \times 1.015 \times 1.015 = 1.04568$$ (rounded to 5 decimal places)
5. **Calculate the amount:**
$$A = 20000 \times 1.04568 = 20913.6$$
6. **Round to the nearest rupee:**
$$\boxed{20914}$$
So, the total amount in the account after 3 years is 20914 rupees.
Compound Interest 432810
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