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(A) The formula for the difference between Compound Interest $(CI)$ and Simple Interest $(SI)$ for $2$ years is given by:Difference $= \frac{P 	imes

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$2500$

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(A) The formula for the difference between Compound Interest $(CI)$ and Simple Interest $(SI)$ for $2$ years is given by:Difference $= \frac{P 	imes r^2}{100^2}$Where $P$ is the principal sum and $r$ is the rate of interest per annum.Given: Difference $= 4$,$r = 4 \%$,time $= 2$ years.Substituting the values into the formula:$4 = \frac{P 	imes 4^2}{100^2}$$4 = \frac{P 	imes 16}{10000}$$P = \frac{4 	imes 10000}{16}$$P = \frac{10000}{4}$$P = 2500$Thus,the sum is $Rs. 2500$.

The difference between the simple and compound interest on a certain sum of money for $2$ years at $4 \%$ per annum is $Rs. 4$. Find the sum (In $Rs.$)?

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