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  • A trader gives 25% discount on his articles and still makes a profit of 25%. Find his profit percent, if he sells his articles at: (i) 10% discount (ii) their marked price

A trader gives 25% discount on his articles and still makes a profit of 25%. Find his profit percent, if he sells his articles at: (i) 10% discount (ii) their marked price

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best_answer

Let the marked price be Rs100
Then, Selling Price after 25 % discount  =Rs75

\begin{array}{l} \text { Given, Profit } \%=\frac{S \cdot P-C \cdot P}{C \cdot P} \times 100=25 \% \\ =>\frac{75-C \cdot P}{C \cdot P} \times 100=25 \\ =>75-C \cdot P \cdot=0.25 C \cdot P \\ =>1.25 C \cdot P \cdot=75 \\ C \cdot P \cdot=Rs \cdot 60 \end{array}

And if Selling Price =Rs100 (that is at marked price discount ),

\text { then, Profit } \%=\frac{S \cdot P-C \cdot P}{C \cdot P} \times 100=\frac{100-60}{60} \times 100=\frac{40}{60} \times 100=66 \frac{2}{3} \%

Posted by

Deependra Verma

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