The difference between simple and compound interest on a sum of $10000$ is $64$ for $2$ years. Find the rate of interest. (in $\%$)

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 $2010$?

What is the difference between the compound interests (in ₹) on ₹ $5000$ for $1 \frac{1}{2}$ years at $4 \%$ per annum compounded yearly and half-yearly?

If the compound interest on a sum for $2$ years at $12 \frac{1}{2} \%$ per annum is ₹ $510$,the simple interest (in ₹) on the same sum at the same rate for the same period of time is:

Albert invested an amount of ₹ $8000$ in a fixed deposit scheme for $2$ years at a compound interest rate of $5 \%$ per annum. How much amount (in ₹) will Albert get on maturity of the fixed deposit?

The difference between $C.I.$ and $S.I.$ on $Rs. 700$ in $2$ years at $5 \%$ per annum is (in $Rs.$):