A) Rs. 2000
B) Rs. 2040
C) Rs. 2100
D) Rs. 2200
Correct Answer: A
Solution :
[a] Suppose his salary of Rs. x. House rent \[=\text{Rs}\text{.}\,\,\left( \frac{10}{100}\times x \right)=\text{Rs}\text{.}\frac{x}{10}\] Balance \[=\text{Rs}.\,\,\left( x-\frac{x}{10} \right)=\text{Rs}.\frac{9x}{10}.\] Expenditure on education \[=\text{Rs}\text{.}\left( \frac{15}{100}\times \frac{9x}{10} \right)=\text{Rs}.\frac{27x}{200}\] Balance \[=\text{Rs}.\left( \frac{9x}{10}-\frac{27x}{200} \right)=\text{Rs}.\frac{153x}{200}\] Expenditure on clothes \[=\text{Rs}\text{.}\left( \frac{10}{100}\times \frac{153x}{200} \right)=\text{Rs}.\frac{153}{2000}\] Money left \[=Rs.\,\,\left( \frac{153x}{200}-\frac{153}{200} \right)\] \[=\text{Rs}.\frac{1377x}{2000}\] \[\therefore \] \[\frac{1377x}{2000}=1377\]\[\Rightarrow \]\[x=2000\] His salary is Rs. 2000. |
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