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?
48 kg lf the quantity sold at 3% loss is x and at 9% profit is (144-x), the cost price being c per kg we have x*0.97c+(144-x)*1.09c=1.05*144c. Cancelling c we get x=48 kg
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?
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?
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 ?
A merchant has 175 kg of sugar, part of which he sells at 5% profit and the rest at 15% profit. He gains 108% on the whole. What is the quantity sold for 5% profit?
A merchant has 1925 kg of sugar, part of which he sells at 3% loss and the rest at 4% profit. He gains 2% on the whole. What is the difference between the quantities of sugar sold at 4% profit and that sold at 3% loss?