There is a $40 \%$ increase in an amount in $8$ years at simple interest. What will be the compound interest (in rupees) on ₹ $30000$ after $2$ years at the same rate?

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 would be the compound interest (in $Rs.$) accrued on an amount of $Rs. 7850$ at the rate of $14$ $p.c.p.a.$ in $2$ years?

What would be the compound interest (in ₹) accrued on an amount of ₹ $7,400$ at $13.5$ $p.c.p.a.$ at the end of two years? (rounded off to two digits after decimal)

If the difference between the simple and the compound interest earned on a sum of money at the rate of $5$ $p.c.p.a.$ for $2$ $years$ is $Rs. 16$,find the principal (in $Rs.$).

What is the difference between the simple and the compound interest (in ₹) on ₹ $7,300$ at the rate of $6$ $p.c.p.a.$ in $2$ years?