Compute the amount and the compound interest in each of the following by using the formulas when:
(i)Principal = Rs 3000, Rate = 5%, time = 2 years
(ii)Principal = Rs 3000, rate = 18%, time = 2 years
(iii)Principal = Rs 5000, rate = 10 paise per rupee per annum , time – 2 years
(iv)Principal = Rs 2000, rate = 4 paise per rupee per annum, time = 3 years
(v)Principal = Rs 12800, rate = `7(1)/2%` , time = 3 years
(vi)Principal = Rs 10000, rate 20% per annum compounded half-yearly, time = 2 years
(vii)Principal = Rs 160000, rate = 10 paise per rupee per annum compounded half-yearly, time = 2 years.

Explanation

To solve the given problems step by step, we will use the formula for compound interest:

**Formula:**
\[ A = P \left(1 + \frac{r}{100}\right)^n \]
Where:
- \(A\) = Amount after time \(n\)
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