The compound interest on a sum of money for $3$ years at $5 \%$ per annum is ₹ $1324.05$. What is the simple interest (in ₹)?

The simple and compound interests on a sum of money for $2$ years are ₹ $8400$ and ₹ $8652$ respectively. The rate of interest per annum is (in $\%$):

Find the difference between $S.I.$ and $C.I.$ (in $Rs.$) at $12 \%$ per annum for $2$ years on $Rs. 10000$.

$A$ deposited $Rs. 6000$ in a bank at $5 \%$ per annum simple interest. $B$ deposited $Rs. 5000$ at $8 \%$ $p.a.$ compound interest. After $2$ years,the difference between their interests (in $Rs.$) will be:

Raghu invested a certain sum in Scheme $X$ for $4$ years. Scheme $X$ offers simple interest at $12\%$ per annum for the first two years and compound interest (compounded annually) at $20\%$ per annum for the next two years. The total interest earned by him after $4$ years is $₹ 11016$. What was the sum (in $₹$) invested by Raghu in Scheme $X$?

The difference between the $S.I.$ and $C.I.$ obtained on a principal amount at $5$ $p.c.p.a.$ after $2$ years is $Rs. 35$. What is the principal amount (in $Rs.$)?