The difference between simple and compound interest compounded annually on a certain sum of money for $2$ years at $4 \%$ per annum is $Rs. 1$. The sum (in $Rs.$) is

If $Rs. 3000$ amounts to $Rs. 4320$ at compound interest in a certain time,then what will $Rs. 3000$ amount to in half of that time (in $Rs.$)?

$A$ sum of money,deposited at some rate $p.c.p.a.$ of compound interest,doubles itself in $4$ years. In how many years will it become $16$ times of itself at the same rate?

$A$ sum of ₹ $3,200$ invested at $10 \%$ per annum compounded quarterly amounts to ₹ $3,362$. Compute the time period (in years).

₹ $3757$ is to be divided between $A$ and $B$ such that $A$'s share at the end of $7$ years may be equal to $B$'s share at the end of $9$ years. If the rate of interest is $10 \%$ per annum compounded annually,what is $B$'s share (in ₹)?

Which of the statements given below are sufficient to answer the following question?
What is the rate of interest per annum on an investment of $Rs. 800$?
$(I)$ The income from $S.I.$ at the end of $3$ years at the same rate of interest is $19$.
$(II)$ $C.I.$ is $15.76$ more than $S.I.$ on the same sum and same rate in $2$ years.