Question

Mark (✓) against the correct answer
The simple interest at x% per annum for x years will be Rs x on a sum of

(a) Rs x
(b) Rs 10 x
(c) Rs 100 x
(d) Rs $\left(\frac{100}{x}\right)$

Answer 1

$$\begin{gathered} \left(d\right)\mathrm{Rs}\frac{100}{\mathrm{x}} \\ \begin{array}{l}\text{Let the sum be Rs P.}\\ \text{Time=}\mathrm{x}\text{years}\\ \text{Rate of interest},\text{r}=\mathrm{x}\mathrm{\%}\text{per annum}\\ \text{S}\text{.I}\text{.=Rs}\mathrm{x}\\ \text{Simple Interest}=\frac{\text{P}\times \text{R}\times \text{T}}{100}\\ \text{=>}\mathrm{x}\text{=}\frac{\text{P}\times \mathrm{x}\times \mathrm{x}}{100}\\ \text{=>P=}\frac{\sout{\mathrm{x}}\times 100}{\sout{\mathrm{x}}\times \mathrm{x}}\\ \therefore \text{P=}\left(\frac{100}{\mathrm{x}}\right)\\ \end{array} \end{gathered}$$