A) 1200
B) 1600
C) 1500
D) 1400
Correct Answer: B
Solution :
[b] Let, total money of man have = Rs. x |
Money he spend \[=7\frac{1}{2}%=\frac{15}{2}%\] |
\[\therefore \] Rest money he has |
\[=x-x\times \frac{15}{2}\times \frac{1}{100}=\text{Rs}.\,\,\frac{185x}{200}\] |
Now, according to the questions, |
\[\frac{185x}{200}-\frac{185x}{200}\times \frac{75}{100}=370\] |
\[\Rightarrow \] \[\frac{185x}{200}\left( 1-\frac{75}{100} \right)=370\] |
\[\Rightarrow \] \[\frac{185x}{200}\times \frac{25}{100}=370\] |
\[\Rightarrow \] \[\frac{185x}{200}\times \frac{1}{4}=370\] |
\[\Rightarrow \] \[x=\frac{370\times 4\times 200}{185}\]\[\Rightarrow \]\[x=\text{Rs}\text{.}\,\,1600\] |
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