A merchant has 1000 kg of sugar, part of which he sells at 8% profit

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. The quantity sold at 18% profit is

  1. 640 kg
  2. 400 kg
  3. 600 kg
  4. 560 kg

Answer

Profit % by selling 1st part = 8% (Cheaper)

Profit % by selling second part = 18% (Dearer)

Net gain = 14% (Mean)

Profit of 1st part : Profit of 2nd part = 18 - 14 : 14 - 8 = 2:3

At 18% profit, quantity sold = (3/5) x 1000 = 600 kg

The correct option is C.