A certain sum at compound interest amounts in two years to ₹ $2809$ and in three years to ₹ $2977.54 .$ Find the rate of interest and the original sum (In ₹).

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 ₹) ?

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

The compound interest accrued on an amount at the end of $3$ $years$ $@$ $15$ $p.c.p.a.$ is $Rs. 6500.52 .$ What is the amount (In $Rs.$) ?

Which of the statement given below are sufficient to answer the following question.

What is the rate of interest $p.c.p.a.$ on the amount of $Rs. 15000$ taking loan?

($I$) The difference between $C.I. \& S.I.$ is $Rs. 170$

($II$) The $S.I.$ of $2$ years is $Rs. 2500$

A sum of ₹ $15000$ deposited at compound interest becomes double after $5$ $years.$ After $20$ $years$, it will become (In ₹)