A dishonest dealer's scale — Profit & Loss Aptitude Question
A dishonest dealer's scale: A dealer claims to sell at cost price but uses a 900 g weight in place of 1 kg. Answer and worked solution on CodeKairo.
- Topic: Profit & Loss
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 60 seconds
Question
A dealer claims to sell at cost price but uses a 900 g weight in place of 1 kg. What is the dealer's profit percent?
Options
- 9.09%
- 10%
- 11.11%
- 12.5%
Show the answer and the worked solution
Correct answer: C. 11.11%
Worked solution
- For every 900 g handed over, the dealer is paid for 1000 g.
- Gain = 100 g on goods worth 900 g.
- Profit % = 100/900 × 100 = 11.11%.
Answer: 11.11%.
The idea
Profit percent from a false weight = error ÷ (true weight − error) × 100. The base is what was actually delivered, which is why it is more than 10%.
Shortcut. The dealer hands over 9 parts and charges for 10, so the profit is 1/9 of the cost = 11.11%.
Common trap. 10% — dividing the 100 g saved by 1,000 g; profit is measured on the 900 g actually delivered.