Question

The simple interest at R% per annum for n years will be ₹n on a sum of

(a) ₹n
(b) ₹100n
(c) ₹$\frac{100}{n}$
(d) ₹$\frac{100}{n^2}$

Answer 1

It is given that,
Simple interest (I) = ₹n
Rate (R) = R%
Time (T) = n years

$$\begin{gathered} I=\frac{P\times R\times T}{100} \\ \Rightarrow P=\frac{100\times I}{R\times T} \\ =\frac{100\times n}{R\times n} \\ =\frac{100}{R} \end{gathered}$$

Hence, the correct option is (c).