The compound interest on a certain sum for $2$ years at $10 \%$ per annum is ₹ $525$. The simple interest (in ₹) on the same sum for double the time at half the rate percent per annum is

On what sum will the compound interest (in ₹) for $2 \frac{1}{2}$ years at $10 \%$ per annum amount to ₹ $6352.50$?

Sonika invested an amount of ₹ $5800$ for $2$ years. At what rate of compound interest ($\%$ per annum) will she get an amount of ₹ $594.5$ as interest at the end of two years?

Rohit invested some amount at the rate of $6\%$ per annum and at the end of $3$ years he received ₹ $8730$ as simple interest. How much compound interest (in ₹) will he receive on the same amount and same rate of interest after $2$ years?

The difference between simple and compound interest on a sum of $10000$ is $64$ for $2$ years. Find the rate of interest. (in $\%$)

If the compound interest on a certain sum for $2$ years is ₹ $60.60$ and the simple interest is ₹ $60$,then the rate of interest per annum (in $\%$) is