Question:
A trader makes a profit equal to the selling price of 75 articles when he sells 100 of the articles. What percentage profit did he make in the transaction?
A trader makes a profit equal to the selling price of 75 articles when he sells 100 of the articles. What percentage profit did he make in the transaction?
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Set profit = 75 times the per-unit SP and total revenue = 100 times the per-unit SP, then solve for SP in terms of CP.
Updated On: Jul 15, 2026
- 33.33%
- 75%
- 300%
- 150%
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The Correct Option is C
Solution and Explanation
Step 1: Set up the equation.
Profit on 100 articles equals the selling price of 75 articles: \(100(SP-CP)=75 \times SP\), where SP and CP are the per-article selling and cost prices.
Step 2: Simplify.
\(100\,SP-100\,CP=75\,SP \Rightarrow 25\,SP=100\,CP \Rightarrow SP=4\,CP\).
Step 3: Find the profit percentage.
Profit % \(=\dfrac{SP-CP}{CP}\times100=\dfrac{4CP-CP}{CP}\times100=3\times100=300\%\).
Step 4: Final Answer.
The trader made a 300% profit, so option C is correct.
Profit on 100 articles equals the selling price of 75 articles: \(100(SP-CP)=75 \times SP\), where SP and CP are the per-article selling and cost prices.
Step 2: Simplify.
\(100\,SP-100\,CP=75\,SP \Rightarrow 25\,SP=100\,CP \Rightarrow SP=4\,CP\).
Step 3: Find the profit percentage.
Profit % \(=\dfrac{SP-CP}{CP}\times100=\dfrac{4CP-CP}{CP}\times100=3\times100=300\%\).
Step 4: Final Answer.
The trader made a 300% profit, so option C is correct.
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