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A merchant has 100 kg. of sugar, part of which he sells at 7% profit and the rest at 17% profit. He gains 10% on the whole. How much is sold at 17%.

Assume that x part being sold at 7% profit then 1-x part being sold at 10% profit So x*7% + (1-x)*17% = 10% i.e. x = .7 1-x = .3

So out of a total of 100 kg, sugar sold at 17% gain = 30 kg

he sold 65kg at 17%

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 woman bought a used car for $600 and sold it a friend for $800. She later bought it back for $1,000 and resold it for $1,200. Did she make any profit and if so, how much?

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?