A merchant has 640 kg of sugar, part of which he sells at 2% loss and the rest at 6% profit. He gains 3% on the whole. What is the difference between the quantities of sugar sold at 2% loss and that sold at 6% profit?
(Quantity of Cheaper)/(Quantity of Dearer) = (Price of Dearer - Mean Price)/(Mean Price - Price of Cheaper)
(Quantity of Cheaper)/(Quantity of Dearer) = (106 - 103)/(103-98) = 3/5
Total Quantity = 640 KG
The quantity sold at 2% loss is = (3/8) * 640 = 240 Kgs
The quantity sold at 6% profit is = (5/8) * 640 = 400 Kgs
Difference between Quantity = 400-240 = 160 Kgs
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