SP of 20 articles = CP of 25 — Aptitude Question
SP of 20 articles = CP of 25: The selling price of 20 articles equals the cost price of 25 articles. Answer and worked solution on CodeKairo.
- Topic: Profit & Loss
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 60 seconds
Question
The selling price of 20 articles equals the cost price of 25 articles. What is the profit percent?
Options
- 20%
- 25%
- 30%
- 45%
Show the answer and the worked solution
Correct answer: B. 25%
Worked solution
- Let CP per article = 1, so CP of 25 = 25 = SP of 20.
- SP per article = 25/20 = 1.25.
- Profit = 0.25 on 1 = 25%.
Answer: 25%.
The idea
If SP of a articles = CP of b articles, profit% = (b − a)/a × 100. Setting one cost price to 1 makes these problems a single fraction.
Shortcut. The 5 extra articles' worth is profit earned on 20 articles, so profit = 5/20 = 25%.
Common trap. 20% — dividing the 5 by 25 instead of 20; profit is measured on the cost of the 20 articles sold.