CP of 20 equals SP of 16 — Profit & Loss Aptitude Question
CP of 20 equals SP of 16: If the cost price of 20 articles equals the selling price of 16 articles, what is the… Answer and worked solution on CodeKairo.
- Topic: Profit & Loss
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 60 seconds
Question
If the cost price of 20 articles equals the selling price of 16 articles, what is the gain percent?
Options
- 16%
- 20%
- 25%
- 30%
Show the answer and the worked solution
Correct answer: C. 25%
Worked solution
- Let CP per article = ₹1. Then 16 articles sell for ₹20, so SP per article = ₹1.25.
- Gain = 25%.
Answer: 25%.
The idea
The wording flips but the method does not: price one article at 1 and read off the other side. Whichever count is smaller belongs to the more valuable side.
Shortcut. Per article, SP : CP = 20 : 16 = 5 : 4 — fewer articles fetch the same money, so SP is the larger figure — a gain of 1/4 = 25%.
Common trap. 20% — dividing the 4-article difference by 20 instead of by the 16 sold.