What is the amount, including the interest, if Rs. 45,000 is invested for 3 years at the rate of 10% per annum compounded annually?

Correct option is A

​Given:
Principal (P) = ₹45,000
Rate (r) = 10% per annum
Time (t) = 3 years
Formula Used:
​$$A = P \left(1 + \frac{r}{100} \right)^t$$​​
Solution:
​$$A = 45000 \left(1 + \frac{10}{100} \right)^3 \\\Rightarrow A = 45000 \left(1 + 0.1 \right)^3 \\\Rightarrow A = 45000 \times (1.1)^3 \\\Rightarrow A = 45000 \times 1.331 \\\Rightarrow A = ₹59,895$$​
Alternate Solution:
Let the Principal be 1000 unit

Amount = 1000 + 100 + 100 + 100 + 10 + 10 + 10 + 1 = 1331 unit
1000 unit = R. 45000
1 unit = Rs. 45
1331 unit = 1331 $$\times 45=$$ Rs. 59895​