Find the difference between $C.I.$ and $S.I.$ on $Rs. 15000$ at $3 \%$ per annum for $3$ years.

The simple interest on a certain sum of money for $3$ years at $8 \%$ per annum is half the compound interest on ₹ $4000$ for $2$ years at $10 \%$ per annum. The sum placed on simple interest (in ₹) is

$A$ certain sum of money at compound interest grows up to ₹ $12960$ in $2$ years and up to ₹ $13176$ in $3$ years. Find the rate per cent per annum.

The difference between simple and compound interest compounded annually on a certain sum of money for $2$ years at $4 \%$ per annum is ₹ $8$. The sum is (In ₹):

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 $Rs.$)?

Which of the statements given below are sufficient to answer the following question?
What is the rate of interest $p.c.p.a.$ on the amount of $Rs. 15000$ taken as a loan?
$(I)$ The difference between $C.I.$ and $S.I.$ for $2$ years is $Rs. 170$.
$(II)$ The $S.I.$ for $2$ years is $Rs. 2500$.