A dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 20% less than what is written on it. Find his profit percentage.
\(25\%\)
Let the marked weight be 100 g at cost price ₹100 per 100 g, so the shopkeeper charges ₹100 for what he claims is 100 g.
The actual weight given is 20% less, i.e. 80 g. The cost of the 80 g he actually delivers is \(\dfrac{100}{100} \times 80 = 80\) (₹).
Profit per transaction \(= 100 - 80 = 20\) (₹).
Profit percentage \(= \dfrac{\text{profit}}{\text{cost}} \times 100 = \dfrac{20}{80} \times 100 = 25\%\).
Hence, the shopkeeper's profit percentage is 25%.
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