Discussion
A person \(X\) sold an Item to \(Y\) at \(40\)% loss, then \(Y\) sold it to third person \(Z\) at \(40\)% profit and finally \(Z\) sold it back to \(X\) at \(40\)% profit. In this whole process what is the percentage loss or profit of X?
Answer: C
Let the Cost Price \(= Rs. 100.\) for \(X.\)
\(Y's\) Cost Price \(= Rs. 60.\)
\(Z's\) Cost Price \(= Rs. 84.\)
Finally, \(X's\) Cost Price \(RS. 117.6.\)
\(\therefore X's\) loss \(117.6 - 60 = Rs. 57.6\)
\(\therefore X's \) loss percentage \(= 57.6\)%
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