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Profit & Loss Questions and Answers

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121.

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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122.

If Arko sells an article at \(\frac{4}{5}\)th of its selling price and secures a profit of \(20\)%, what will be the profit or loss percentage if he sells it at the actual selling price?

Answer: C

Let Cost Price is \(Rs. 100\)

Profit \(20\)% Means \(\Rightarrow 120.\)

\(120 = \frac{4}{5SP} \Rightarrow SP = 150.\)

Then profit percentage is \(50\)%

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