SSC Sample Paper Mock Test-17 SSC CGL Tear-II Paper-1

A man spends \[\frac{1}{3}\text{rd}\] of the money with him on clothes, \[\frac{1}{5}\text{th}\] of the remaining on food and \[\frac{1}{4}\text{th}\] of the remaining on travel. Now, he is left with Rs. 100. How much did he have in the beginning?

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.