If the difference between $S.I.$ and $C.I.$ for $2$ years on a sum of money lent at $5 \%$ is $ 6,$ then the sum is (In ₹) 

A certain sum of money (In $Rs.$) gives $Rs. 500$ at $5 \%$ S.I. for 1 year. What is the $C.I.$ at the same rate at the end of $2$ years?

The compound interest earned by Shivam on a certain amount at the end of $2$ years at the rate of $8 \,p.c.p.a.$ was $Rs. 1414.4 .$ What was the total amount that Shivam got back at the end of $2$ years in the form of principal plus interest earned (In $Rs.$) ?

The difference between the simple interest on a certain sum at the rate of $10 \%$ per annum for $2$ years and compound interest which is compounded every $6$ months is ₹ $124.05$ . What is the principal (In ₹) ?

A sum of money lent at compound interest for $2 \,yr$ at $20 \%$ pa would fetch $Rs. 964$ more, if the interest was payable half-yearly than if it was payable annually. What is the sum (In $Rs.$) ?

If the compound interest on a certain sum for $2$ years is ₹ $105$ and simple interest is ₹ $100$, then the sum (In ₹) is