Question 7

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)

Solution

Let the goods be 100.
$$35 \times \frac{165}{100} + \frac{65(100 - x)}{100} = 88$$
5775 + 6500 - 65x = 8800
65x = 3475
x = 53.46 ~ 53.5

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