The $S.I.$ is $Rs. 7200$ at $12$ $p.c.p.a.$ for $6$ years on a sum. What is the $C.I.$ (in $Rs.$) on the same sum at $5$ $p.c.p.a.$ for $2$ years?

The difference between the compound interest and simple interest on a certain sum at $3 \%$ per annum for $3$ years is ₹ $27.27$. The sum is (in ₹):

An amount of ₹ $8000$ was deposited at simple interest for $3$ years at $7.5$ $\%$ per annum. How much more would have been gained (in ₹) had it been deposited at the same rate per cent compound interest?

What would be the compound interest (in $Rs.$) accrued on an amount of $Rs. 7400$ at $13.5$ $p.c.p.a.$ at the end of $2$ years? (rounded off to two digits after decimal)

$A$ sum of money placed at compound interest doubles itself in $5 \, \text{years}$. It will amount to eight times itself at the same rate of interest in (in $\text{years}$):

$A$ man borrows ₹ $3825$ to be paid back with compound interest at the rate of $4 \%$ per annum by the end of $2$ years in two equal yearly instalments. How much will be each instalment (in ₹)?