# 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...

51 views

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

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

Similar Puzzles

A merchant has 144 kg of sugar, part of which he sells at 3% loss and the rest at 9% profit. He gains 5% on the whole. What is the quantity of sugar sold at 3% loss?

A merchant has 999 kg of sugar, part of which he sells at 12% loss and the rest at 15% profit. He gains 7% on the whole. What is the difference between the quantities of sugar sold at 15% profit and that sold at 12% loss?

+1 vote

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole.
What is the quantity he sold at 18% profit ?