Aditya invest $Rs. 50,000$ in a fixed deposit at $10 \%$ $C.I.$ for $2$ years. At the end of $2$ years she put the money in another deposit at $12 \%$ $S.I.$ for $3$ years. What was the final value (In $Rs.$)  of the initial Investment?

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 $Rs.$) ?

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 ₹) 

In how many years will ₹ $2,000$ yield ₹ $662$ as compound interest at $10 \%$ per Annum compounded annually?

What is the rate of interest (in $\%$) if simple interest earned on a certain sum for the 3 rd year is $₹ 2,000$ and compound interest earned in 2 years is ₹ $4,160 ?$

The $S.I.$ is $Rs. 7200$ on $12$ $p.c.p.a.$ for $6$ years on a sum. What is $C.I.$ (In $Rs.$) on $5$ $p.c.p.a$ for $2$ years?