What sum will give ₹ $244$ as the difference between simple interest and compound interest (In ₹) at $10 \%$ in $1 \frac{1}{2}$ years compounded half-yearly?

The compound interest on a certain sum of money for $2$ years at $5 \%$ per annum is ₹ $410 .$ The simple interest (In ₹) on the same sum at the same rate and for the same time is

If the difference between the simple interest and compound interest earned on an amount @ $15$ $p.c.p.a.$ at the end of $3$ years is $Rs. 595.35$ what is the amount (In $Rs.$) ?

A tree increases annually by $\frac{1}{8}$ of its height. By how much will it increase (In $cm$) after $2$ years, if it stands today $64 cm$ high?

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 $2010 ?$

If the compound interest on a certain sum of money for $3$ years at $5 \,%$ p.a. is $Rs. 504.40$ , find the corresponding simple interest. (In $Rs.$)