Question

Ram donated 1/10 of his salary to charity ,1/3 of his salary spent on food ,1/4 of his salary spent on electricity and rent ,1/20 of salary on telephone bill ,this month he donated Rs.5000 to flood victim. he was left with Rs.3000 with him,find his monthly salary.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{monthly}\mathrm{salary}=\mathrm{Rs}\mathrm{x} \\ \mathrm{Money}\mathrm{donated}\mathrm{to}\mathrm{charity}=\mathrm{Rs}\left(\frac{\mathrm{x}}{10}\right) \\ \mathrm{Money}\mathrm{spent}\mathrm{on}\mathrm{food}=\mathrm{Rs}\left(\frac{\mathrm{x}}{3}\right) \\ \mathrm{Money}\mathrm{spent}\mathrm{on}\mathrm{electricity}=\mathrm{Rs}\left(\frac{\mathrm{x}}{4}\right) \\ \mathrm{Money}\mathrm{spent}\mathrm{on}\mathrm{telephone}\mathrm{bill}=\mathrm{Rs}\left(\frac{\mathrm{x}}{20}\right) \\ \mathrm{Money}\mathrm{donated}\mathrm{to}\mathrm{flood}\mathrm{victims}=\mathrm{Rs}5000 \\ \mathrm{Remaining}\mathrm{money}=\mathrm{Rs}3000 \\ \mathrm{According}\mathrm{to}\mathrm{question}: \\ \frac{\mathrm{x}}{10}+\frac{\mathrm{x}}{3}+\frac{\mathrm{x}}{4}+\frac{\mathrm{x}}{20}+5000+3000=\mathrm{x} \\ \Rightarrow \frac{\mathrm{x}}{10}+\frac{\mathrm{x}}{3}+\frac{\mathrm{x}}{4}+\frac{\mathrm{x}}{20}-\mathrm{x}=-8000 \\ \Rightarrow \frac{6\mathrm{x}+20\mathrm{x}+15\mathrm{x}+3\mathrm{x}-60\mathrm{x}}{60}=-8000 \\ \Rightarrow -\frac{16\mathrm{x}}{60}=-8000 \\ \Rightarrow \mathrm{x}=500\times 60 \\ \Rightarrow \mathrm{x}=30000 \\ \mathrm{So},\mathrm{monthly}\mathrm{salary}=\mathrm{Rs}30000 \end{gathered}$$