A 900 g kilogram — Profit & Loss Aptitude Question
A 900 g kilogram: A trader sells at cost price but uses a 900 g weight instead of 1 kg. What is his profit percent? Answer and worked solution on CodeKairo.
- Topic: Profit & Loss
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 60 seconds
Question
A trader sells at cost price but uses a 900 g weight instead of 1 kg. What is his profit percent?
Options
- 9%
- 10%
- 11.11%
- 12.5%
Show the answer and the worked solution
Correct answer: C. 11.11%
Worked solution
- The dealer hands over 900 g but charges for 1,000 g.
- Gain = 100 g on goods worth 900 g.
- Gain % = 100/900 × 100 = 11.11%.
Answer: 11.11%.
The idea
Same formula as the 800 g case. The answer is never the simple 10% that the missing tenth suggests, because the base is the reduced weight.
Shortcut. 1000/900 = 10/9, a gain of 1/9 = 11.11%. Short-weighting by 1/n of the claimed weight always yields a gain of 1/(n − 1).
Common trap. 10% — taking the missing 100 g over the full 1,000 g rather than over the 900 g handed over.