Question
A shopkeeper purchases 140 kg of sugar at Rs. 55 per kg.
He sells a portion of it at a 20% profit and the remaining at a 10% loss. If his total profit is Rs. 154, how much sugar did he sell at a profit?Solution
Let the amount of sugar sold at a gain be x kg The amount of sugar sold at a loss = (140 – x) kg. Selling Price of sugar sold at a gain = 120% of (55×x) = 66x Selling Price of sugar sold at a loss = 90% of (140 - x) × 55 Total Cost Price = 140 × 55 = 7700 Total Selling Price = 66x + (140 - x) × 49.5 = 66x + 6930 - 49.5x = 16.5x + 6930 Given, Total Profit = 154 So, 16.5x + 6930 = 7700+154 16.5x = 7854 – 6930 16.5x = 924 x = 56 kg
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