Question:
Find the compound interest when principal = Rs 3000, rate = 5% per annum and time = 2 years.
Solution:
Principal for the first year $=$ Rs 3,000
Interest for the first year $=\operatorname{Rs}\left(\frac{3,000 \times 5 \times 1}{100}\right)$
= Rs 150
Amount at the end of the first year $=\mathrm{Rs} 3,000+\mathrm{Rs} 150$
= Rs 3,150
Principal for the second year $=$ Rs 3,150
Interest for the second year $=\operatorname{Rs}\left(\frac{3,150 \times 5 \times 1}{100}\right)$
= Rs 157.50
Amount at the end of the second year $=$ Rs $3,150+$ Rs $157.50$
$=\operatorname{Rs} 3307.50$
$\therefore$ Compound interest $=\operatorname{Rs}(3,307.50-3,000)$
$=\operatorname{Rs} 307.50$