A sum of $Rs. 8448$ is to be divided between $X$ and $Y$ who are respectively $18$ and $19 \,yr$ old, in such a way that if their shares be invested at $6.25 \%$ per annum at compound interest, they will receive equal amounts on attaining the age of $21 \,yr$. The present share of $X$ is (In $Rs.$)
$4225$
$4352$
$4096$
$4000$
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
A certain sum at compound interest amounts in two years to ₹ $2809$ and in three years to ₹ $2977.54 .$ Find the rate of interest and the original sum (In ₹).
If a sum of money at compound interest amounts to thrice itself in $3$ years, then in how many years will it be $9$ times itself?
On a certain principal if the simple interest for two years is ₹ $1400$ and compound interest for the two years is ₹ $1449,$ what is the rate of interest (In $\%$) ?
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?