Find the ratio of $S.I.$ and $C.I.$ on a certain sum of money at $5 \%$ per annum for $2$ years.

$A$ certain sum of money invested at compound interest becomes $1.44$ times of itself in $2$ years. If twice this sum were lent at simple interest, in how many years would it double itself?

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 $\%$):

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.

If the difference between $S.I.$ and $C.I.$ is $Rs. 25$ on $10000$ for $2$ years,then what is the rate of interest (in $\%$)?

₹ $800$ at $5 \%$ per annum compound interest amounts to ₹ $882$ in how many years?