A shopkeeper buys sugar at ₹48 per kg. While selling, he uses a faulty weighing scale that gives only 960 g instead of 1 kg. In addition, he marks the selling price at a profit of 20% on the cost price and then offers a discount of 10% on the marked price. Find the overall percentage profit or loss made by the shopkeeper.
12.5% profit
The faulty scale gives only 960 g for a claimed 1 kg, so the actual cost of goods sold per nominal kg is \(48\times0.96=46.08\).
Marked price at 20% profit on the stated cost price: \(48\times1.20=57.6\).
After a 10% discount: selling price \(=57.6\times0.90=51.84\).
Profit: \(51.84-46.08=5.76\); profit percentage \(=\dfrac{5.76}{46.08}\times100=12.5\)%.
Hence, the shopkeeper makes an overall 12.5% profit.
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Important Questions from Dishonest Dealings
- A trader claims to sell pulses at a profit of 3%, but also dishonestly uses a weight which is 15% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
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A trader claims to sell fruits at a profit of 22%, but also dishonestly uses a weight which is 4% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
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