If the simple interest on a sum of money for $2$ years at $5 \%$ per annum is ₹ $50$,what is the compound interest (in ₹) on the same sum at the same rate and for the same time?

If the ratio of $C.I.$ and $S.I.$ interest for the same principal and rate of interest for $2$ years is $1.2,$ find the rate of interest (in $\%$).

The compound interest on a certain sum for $2$ years at $10 \%$ per annum is ₹ $525$. The simple interest (in ₹) on the same sum for double the time at half the rate percent per annum is

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

In the year $2008$,$5000$ students were admitted to a college. It is found that the number of students admitted is constantly increasing by $24\%$ per year. How many students will be admitted to the college in the year $2010$?

$A$ sum put out at $4 \%$ compound interest payable half-yearly amounts to ₹ $6632.55$ in $1 \frac{1}{2}$ years. The sum (in ₹) is