A dishonest dealer uses a false weight of 800 g instead of 1 kg and claims to sell at cost price. What is his profit percentage?
Explanation
Method 1: Using the Shortcut Formula
For problems where a shopkeeper sells goods at the cost price but uses a false weight, you can use the direct formula:
Profit Percentage=(False WeightTrue Weight−False Weight)×100
Given values:
True Weight=1 kg=1000 g
False Weight=800 g
Substitute these values into the formula:
Profit Percentage=(8001000−800)×100
Profit Percentage=(800200)×100
Profit Percentage=41×100=25%
Explanation
Method 1: Using the Shortcut Formula
For problems where a shopkeeper sells goods at the cost price but uses a false weight, you can use the direct formula:
Profit Percentage=(False WeightTrue Weight−False Weight)×100
Given values:
True Weight=1 kg=1000 g
False Weight=800 g
Substitute these values into the formula:
Profit Percentage=(8001000−800)×100
Profit Percentage=(800200)×100
Profit Percentage=41×100=25%