A sum of Rs 20000 becomes Rs 32000 in 12 years, when invested in a scheme of simple interest. If the same sum is invested in a scheme of compound interest with same yearly interest rate (compounding of interest is done yearly), then what will be the amount (in Rs) after 2 years?

Principal sum = Rs. 20,000 and time period = 12 years

=> Amount after simple interest = Rs. 32,000

Thus, simple interest = Rs. (32,000-20,000) = Rs. 12,000

Let rate of interest = $$r\%$$

=> Simple interest = $$\frac{P\times R\times T}{100}$$

=> $$\frac{20,000\times r\times12}{100}=12,000$$

=> $$2400r=12000$$

=> $$r=\frac{12000}{2400}=5\%$$

$$\therefore$$ Amount under compound interest = $$P(1+\frac{R}{100})^T$$

= $$20,000(1+\frac{5}{100})^2$$

= $$20,000(1+\frac{1}{20})^2=4000(\frac{21}{20})^2$$

= $$20,000\times\frac{441}{400}$$

= $$50\times441=Rs.$$ $$22,050$$

=> Ans - (B)