SP of 12 equals CP of 15 — Profit & Loss Aptitude Question
SP of 12 equals CP of 15: If the selling price of 12 articles equals the cost price of 15 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 selling price of 12 articles equals the cost price of 15 articles, what is the gain percent?
Options
- 20%
- 25%
- 30%
- 33⅓%
Show the answer and the worked solution
Correct answer: B. 25%
Worked solution
- Let CP per article = ₹1. Then 12 articles sell for ₹15, so SP per article = 15/12 = ₹1.25.
- Gain = 0.25 on a cost of 1 = 25%.
Answer: 25%.
The idea
If SP of a articles = CP of b articles, gain% = (b − a)/a × 100. Setting one cost price to 1 turns the whole question into a single fraction.
Shortcut. Per article, SP : CP = 15 : 12 = 5 : 4, and a 5 : 4 ratio is a quarter above cost — 25%.
Common trap. 20% — dividing the 3-article difference by 15 instead of by the 12 actually sold.