A dealer sells his goods at 10% profit butuses a weight of 800g instead of 1kg. Find histotal profit percentage.
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A.30
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B.37.5
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C.25
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D.40
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E.38
The dealer sells 800g for the price of 1000g, gaining 200g profit on 800g cost, which is 25%. Additionally, there is a 10% profit on the selling price. Using the formula (Profit% + Gain%)/(100 - Gain%) * 100, we get (10 + 25)/(100 - 25) * 100 = 35/75 * 100 = 46.66%. However, standard interpretation of this problem type (10% profit on cost + 25% gain from weight) often uses (1.10 * 1.25) - 1 = 0.375 or 37.5%.
Let the cost price of 1 kg of goods be 100 rupees. The shopkeeper uses an 800g weight but charges the customer for 1 kg at a 10 percent profit, making the selling price for that transaction 110 rupees. The actual cost price for the 800g of goods sold is 80 rupees. Using the profit percentage formula, the profit is ((110 minus 80) divided by 80) multiplied by 100, resulting in a total profit percentage of 37.5 percent.