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Select the correct answer35% 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)Options52.451.850.653.5

Question

Select the correct answer35% 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)Options52.451.850.653.5

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Solution

To solve this problem, we can use the concept of weighted averages.

  1. We know that 35% of the goods were sold at a profit of 65%. This means that the remaining 65% of the goods were sold at a loss of x%.

  2. We also know that the overall loss is 12%.

  3. We can set up the following equation to represent this situation:

(35 * 65 + 65 * -x) / 100 = -12

  1. Solving this equation for x gives us:

x = (35 * 65 + 100 * 12) / 65

  1. Calculating the above expression gives us:

x = 52.4 (rounded to one decimal place)

So, the correct answer is 52.4. However, since this option is not available in the given options, the closest answer would be 52.5.

This problem has been solved

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