35% of goods were sold at a profit of 65%, while the remaining were sold at x% loss. If the overall loss is 12%, then what is the value of x? (correct to one decimal place)Options50.653.552.451.8
Question
35% of goods were sold at a profit of 65%, while the remaining were sold at x% loss. If the overall loss is 12%, then what is the value of x? (correct to one decimal place)Options50.653.552.451.8
Solution
Let's solve this step by step:
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We know that 35% of the goods were sold at a profit of 65%. This means that the profit from these goods is 35% * 65% = 22.75%.
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We also know that the overall loss is 12%. This means that the remaining 65% of the goods must have been sold at a loss that, when combined with the 22.75% profit, results in a 12% loss overall.
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To find this, we can set up the equation: 22.75% - 12% = 10.75%. This is the total loss from the remaining 65% of the goods.
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To find the percentage loss on each of these goods, we divide the total loss by the percentage of goods: 10.75% / 65% = 16.54%.
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Therefore, the remaining goods were sold at a loss of approximately 16.5%.
So, none of the options given are correct.
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