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A merchant has 310 kg of sugar, part of which he sells at 2% loss and the rest at 8% profit. He gains 5% on the whole...

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A merchant has 310 kg of sugar, part of which he sells at 2% loss and the rest at 8% profit. He gains 5% on the whole. What is the difference between the quantities of sugar sold at 8% profit and that sold at 2% loss?

posted Nov 3, 2017 by anonymous

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1 Answer

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93 kg sold at a loss and 217 kg sold at a profit
,
Let's take x as the kg sold at a loss
x is then: x * 0.98 + (310-x) * 1.08 = 310 * 1.05
0.98 * x + 334.8 - 1.08 * x = 325.5
334.8 - 325.5 = 1.08 * x - 0.98 * x
9.3 = 0.1 * x
x = 93 kg

answer Nov 3, 2017 by Jcm



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