A merchant has 640 kg of sugar, part of which he sells at 2% loss and the rest at 6% profit. He gain

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13 Dec 2018 Mixture

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?

OPtion

1) 180 kgs
2) 120 kgs
3) 105 kgs
4) 115 kgs
5) 125 kgs
6) 160 kgs
7) 135 kgs
8) 110 kgs
9) 240 kgs
10)None of these

Solution

(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


Option 6)

Correct Option: 6 Best Solution (0)