Question

ramesh spent 50 % of his monthly income. he spent 20.2% of the remaining amount on charity. he spent 20% of the remaining amount on mutual fund. if Rs. 8000 is left with him what is his monthly salary?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{he}\mathrm{has}\mathrm{Rs}.\mathrm{x}. \\ \mathrm{So}\mathrm{amount}\mathrm{spent}=50\%\mathrm{of}\mathrm{x}=\mathrm{x}\times \frac{50}{100}=\frac{\mathrm{x}}{2} \\ \mathrm{remaining}\mathrm{amout}=\mathrm{x}-\frac{\mathrm{x}}{2}=\frac{\mathrm{x}}{2} \\ \mathrm{amount}\mathrm{spent}\mathrm{on}\mathrm{charity}=\frac{\mathrm{x}}{2}\times \frac{20.2}{100}=\frac{202\mathrm{x}}{2000}=\frac{101\mathrm{x}}{1000} \\ \mathrm{Now}\mathrm{remaining}\mathrm{amount}=\frac{\mathrm{x}}{2}-\frac{101\mathrm{x}}{1000} \\ =\frac{500\mathrm{x}}{1000}-\frac{101\mathrm{x}}{1000}=\frac{399\mathrm{x}}{1000} \\ \mathrm{So}\mathrm{amount}\mathrm{spent}\mathrm{on}\mathrm{mutual}\mathrm{fund}=20\%\mathrm{of}\frac{399\mathrm{x}}{1000} \\ =\frac{20}{100}\times \frac{399\mathrm{x}}{1000}=\frac{399\mathrm{x}}{5000} \\ \mathrm{So}\mathrm{amount}\mathrm{remaining}=\frac{399\mathrm{x}}{1000}-\frac{399\mathrm{x}}{5000} \\ =\frac{1995\mathrm{x}}{5000}-\frac{399\mathrm{x}}{5000} \\ =\frac{1596\mathrm{x}}{5000} \\ \mathrm{and}\mathrm{this}\mathrm{is}\mathrm{given}\mathrm{as}8000 \\ \mathrm{So} \\ \frac{1596\mathrm{x}}{5000}=8000 \\ \mathrm{x}=\frac{8000\times 5000}{1596}=\mathrm{Rs}.25062.65 \end{gathered}$$