$A$ 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 ₹)?

If in a certain number of years,₹ $3000$ amounts to ₹ $4320$ at compound interest,in half that time ₹ $3000$ will amount to (in ₹):

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 $Rs. 2500$.

What would be the $C.I.$ obtained on an amount of $Rs. 12000$ at the rate of $9 \,p.c.p.a$ for $3$ years (in $Rs.$)?

$A$ sum of money at compound interest doubles itself in $15$ years. It will become eight times of itself in (in $years$):

$A$ man gets a simple interest of $Rs. 1000$ on a certain principal at the rate of $5$ $p.c.p.a.$ in $4$ years. What compound interest (in $Rs.$) will the man get on twice the principal in two years at the same rate?