If the difference between the simple and the compound interest earned on a sum of money at the rate of $5$ $p.c.p.a.$ for $2$ $years$ is $Rs. 16$,find the principal (in $Rs.$).

$A$ bank offers $5 \%$ compound interest calculated on a half-yearly basis. $A$ customer deposits $Rs. 1600$ each on $1^{st}$ January and $1^{st}$ July of a year. At the end of the year,the amount (in $Rs.$) he would have gained by way of interest is:

What sum will amount (in ₹) to ₹ $15916.59$ in $3$ years at compound interest,if the interest rates for the first,second,and third year are $3\%$,$2\%$,and $1\%$ respectively?

$A$ 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

Which of the statements given below are sufficient to answer the following question?
What is the rate of interest $p.c.p.a.$ on the amount of $Rs. 15000$ taken as a loan?
$(I)$ The difference between $C.I.$ and $S.I.$ for $2$ years is $Rs. 170$.
$(II)$ The $S.I.$ for $2$ years is $Rs. 2500$.

$A$ certain sum of money (in $Rs.$) gives $Rs. 500$ as Simple Interest $(S.I.)$ at $5 \%$ per annum for $1$ year. What is the Compound Interest $(C.I.)$ on the same sum at the same rate at the end of $2$ years?