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

The difference between the $S.I.$ and $C.I.$ obtained on principal amount at $5$ $p.c.p.a.$ after $2$ years is $Rs. 35 .$ What is principal amount (In $Rs.$).

A man borrows ₹ $4000$ from a bank at $7 \frac{1}{2} \%$ compound interest. At the end of every year he pays ₹ $1500$ as part repayment of loan and interest. How much does he still owe to the bank after three such instalments (In ₹) ?

An amount of money at compound interest grows up to $Rs. 3840$ in $4$ $years$ and up to $Rs. 3936$ in $5$ $years$. Find the rate of interest (In $\%$) ?

The sum for $2$ years gives a compound interest of ₹ $3225$ at the rate of $15 \%$ per annum the amount is (In ₹) 

The compound interest on $\$ 1,800$ at $10 \%$ per annum for a certain period of time is $\$ 378 .$ Find the time in years.