Multiple choice

What is the profit percentage of a dishonest cloth merchant who uses a scale which weighs less by 16.67% and claims to sell at cost price?

  1. 20

  2. 15

  3. 16

  4. 10
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A Correct answer
Explanation

If the scale weighs 16.67% less, the merchant gives 83.33 units for the price of 100 units. Profit % = ((True weight - False weight) / False weight) * 100 = (16.67 / 83.33) * 100 = 20%.

AI explanation

A reduction of 16.67% on the scale means the merchant provides 83.33 grams while charging for 100 grams. This can be expressed as a fraction, meaning the merchant gives 5/6 of a kilogram but charges for a full kilogram. Using the profit percentage formula, profit percent equals (error divided by true weight) multiplied by 100, which is (1/6 divided by 5/6) multiplied by 100, resulting in a 20% profit.

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