Question

what sum will become rs.1416 at 9.5%per annum after 5 years

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{P}\mathrm{be}\mathrm{the}\mathrm{principal}. \\ \mathrm{Rate},\mathrm{R}=9.5\%\mathrm{p}.\mathrm{a} \\ \mathrm{Time},\mathrm{T}=5\mathrm{yrs} \\ \mathrm{Amount},\mathrm{A}=\mathrm{Rs}1416 \\ \mathrm{SI}=\frac{\mathrm{PRT}}{100} \\ \Rightarrow \mathrm{A}-\mathrm{P}=\frac{\mathrm{PRT}}{100} \\ \Rightarrow 1416-\mathrm{P}=\frac{\mathrm{P}\times 9.5\times 5}{100} \\ \Rightarrow 1416-\mathrm{P}=\frac{\mathrm{P}\times 95\times 5}{1000} \\ \Rightarrow 1416-\mathrm{P}=0.475\mathrm{P} \\ \Rightarrow 1.475\mathrm{P}=1416 \\ \Rightarrow \mathrm{P}=\frac{1416}{1.475}=\mathrm{Rs}960 \end{gathered}$$