If the compound interest on a sum for $2$ years at $12 \frac{1}{2} \%$ per annum is ₹ $510$,the simple interest (in ₹) on the same sum at the same rate for the same period of time is:

$B$ borrows ₹ $5,000$ from $A$ at $6 \%$ p.a. simple interest and lends it to $C$ at compound interest of $10 \%$ p.a. If $B$ collects the money back from $C$ after $2$ years and repays $A$,the profit made by $B$ in the transaction is (in ₹):

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 $Rs.$)

$A$ man borrows money at $3 \%$ per annum interest payable yearly and lends it immediately at $5 \%$ interest (compound) payable half-yearly and thereby gains ₹ $330$ at the end of the year. The sum borrowed (in ₹) is

The compound interest on ₹ $30000$ at $7 \%$ per annum is ₹ $4347$. The period (in years) is

Raghu invested a certain sum in Scheme $X$ for $4$ years. Scheme $X$ offers simple interest at $12\%$ per annum for the first two years and compound interest (compounded annually) at $20\%$ per annum for the next two years. The total interest earned by him after $4$ years is $₹ 11016$. What was the sum (in $₹$) invested by Raghu in Scheme $X$?