Question

arjun's monthly salary is Rs 25500. if every year his salary is increased by 5%, what will be his salary after 2 years.

Answer 1

$$\begin{gathered} \mathrm{Initial}\mathrm{salary}\mathrm{of}\mathrm{Arjun},\mathrm{P}=\mathrm{Rs}25500 \\ \mathrm{Rate}\mathrm{of}\mathrm{increase}=\mathrm{R}=5\%\mathrm{p}.\mathrm{a}. \\ \mathrm{Time},\mathrm{n}=2\mathrm{yrs} \\ \mathrm{Salary}\mathrm{after}2\mathrm{yrs},\mathrm{A}=\mathrm{P}{\left[1+\frac{\mathrm{R}}{100}\right]}^{\mathrm{n}} \\ =25500{\left[1+\frac{5}{100}\right]}^2 \\ =25500{\left[1+\frac{1}{20}\right]}^2 \\ =25500\times \frac{21}{20}\times \frac{21}{20} \\ =\mathrm{Rs}28113.75 \end{gathered}$$