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

Sita deposited ₹ $5,000$ at $10\%$ simple interest for $2$ years. How much more money (in ₹) will Sita have in her account at the end of two years,if it is compounded semi-annually?

Find the compound interest (in ₹) on ₹ $15625$ for $9$ months at $16 \%$ per annum compounded quarterly.

Find the difference between $S.I.$ and $C.I.$ (in $Rs.$) at $12 \%$ per annum for $2$ years on $Rs. 10000$.

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 $2010$?

Suneeta borrowed a certain sum from Reena for $2 \,yr$ at simple interest. Suneeta lent this sum to Venu at the same rate for $2 \,yr$ at compound interest. At the end of $2 \,yr$,she received $Rs. 110$ as compound interest but paid $Rs. 100$ as simple interest. Find the sum and the rate of interest.