A trader buys a consignment of goods for ₹2400. He sells one-third of the goods at a 20% profit, and one-fourth of the goods at a 10% loss, and the remaining goods at cost price. What is the overall profit or loss percentage?
\(4\frac{1}{6}\%\) profit
Total cost of the consignment is ₹2400.
One-third of the goods costs \(\frac{1}{3} \times 2400 = 800\); sold at 20% profit gives \(800 \times 1.20 = 960\).
One-fourth of the goods costs \(\frac{1}{4} \times 2400 = 600\); sold at 10% loss gives \(600 \times 0.90 = 540\).
The remaining goods cost \(2400 - 800 - 600 = 1000\); sold at cost price gives 1000.
Total selling price \(= 960 + 540 + 1000 = 2500\).
Overall profit \(= 2500 - 2400 = 100\).
Profit percentage \(= \frac{100}{2400} \times 100 = \frac{100}{24} = 4\frac{1}{6}\%\).
Hence, there is an overall \(4\frac{1}{6}\%\) profit.
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Important Questions from Profit and Loss
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An article was sold at a loss of 24%. If it were sold for Rs. 1,596 more, then there would have been a gain of 18%, The cost price of the article is:
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