Question

Ramu's salary increased by 20% and then decreased by 30%. The effective change in his salary was Rs 8560 find his original salary in rupees

Answer 1

Dear Student,

$$\begin{gathered} LetthesalaryofRamubeRs.x \\ Then,20\%increaseinsalary=\frac{20}{100}\times x=\frac{x}{5} \\ NewSalary=x+\frac{x}{5}=\frac{6x}{5} \\ Nowsalaryisdecreasedby30\%=\frac{30}{100}\times \frac{6x}{5}=\frac{9x}{25} \\ NowRamu\text{'}snewsalary=\frac{6x}{5}-\frac{9x}{25} \\ =\frac{30x-9x}{25} \\ =\frac{21x}{25} \\ NowAccordingtoquestion,x-\frac{21x}{25}=8560 \\ \frac{25x-21x}{25}=8560 \\ \frac{4x}{25}=8560 \\ x=\frac{8560\times 25}{4} \\ x=Rs53,500 \\ \mathit{H}\mathit{e}\mathit{n}\mathit{c}\mathit{e}\mathbf{,}\mathbf{}\mathit{R}\mathit{a}\mathit{m}\mathit{u}\mathbf{\text{'}}\mathit{s}\mathbf{}\mathit{o}\mathit{r}\mathit{i}\mathit{g}\mathit{i}\mathit{n}\mathit{a}\mathit{l}\mathbf{}\mathit{s}\mathit{a}\mathit{l}\mathit{a}\mathit{r}\mathit{y}\mathbf{}\mathit{i}\mathit{s}\mathbf{}\mathit{R}\mathit{s}\mathbf{}\mathbf{53}\mathbf{,}\mathbf{500}\mathbf{.} \end{gathered}$$

Regards