A) Rs. 200
B) Rs. 250
C) Rs. 300
D) Rs. 450
Correct Answer: B
Solution :
Suppose he had Rs. x in the beginning. |
Spent on clothes = Rs. \[\frac{x}{3}.\] |
Remainder \[=\text{Rs}\text{.}\,\,\left( x-\frac{x}{3} \right)\]= Rs. \[\left( \frac{2x}{3} \right)\] |
Spent on foot\[=\frac{1}{5}\]of Rs. \[\frac{2x}{3}\]= Rs. \[\frac{8x}{15}\] |
Remainder = Rs.\[\left( \frac{2x}{3}-\frac{2x}{15} \right)\]= Rs. \[\frac{8x}{15}\] |
Spent on travel = Rs. \[\left( \frac{1}{4}\times \frac{8x}{15} \right)\]= Rs. \[\frac{2x}{15}\] |
Remainders = Rs. \[\left( \frac{8x}{15}-\frac{2x}{15} \right)\]= Rs. \[\frac{6x}{15}\]= Rs. \[\frac{2x}{5}\] |
\[\therefore \] \[\frac{2x}{5}=100\]\[\Rightarrow \]\[x=\frac{500}{2}=250\] |
So, he had Rs. 250 in the beginning. |
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