Multiple choice

A trader sells 3/4th of the goods at 20% profit. At what profit percentage should he sell the remaining goods to gain 18% on the whole?

  1. 10%

  2. 12%

  3. 16%

  4. 19%

  5. a
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Take the total cost price as 4 units. The first 3 units yield 20% profit, giving 3.6 units of selling value. For an overall profit of 18%, the total selling value must be 4.72 units, so the remaining unit must yield 1.12 units, or 12% profit.

AI explanation

Assume the total cost of the goods is 100, making the desired overall profit 18. The trader sells 3/4th of the stock at a 20% profit, earning 75 x 0.20 = 15, which leaves a remaining profit of 3 needed from the last quarter valued at 25. The required profit percentage on the remaining goods is therefore 3 / 25 x 100 = 12%.

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