From a 10% loss to a 15% gain — Aptitude Question
From a 10% loss to a 15% gain: An article sold for ₹1,080 results in a loss of 10%. What should the selling price… Answer and worked solution on CodeKairo.
- Topic: Profit & Loss
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 60 seconds
Question
An article sold for ₹1,080 results in a loss of 10%. What should the selling price be to gain 15%?
Options
- ₹1,320
- ₹1,350
- ₹1,380
- ₹1,400
Show the answer and the worked solution
Correct answer: C. ₹1,380
Worked solution
- CP = 1,080 ÷ 0.90 = ₹1,200.
- For a 15% gain, SP = 1,200 × 1.15 = ₹1,380.
Answer: ₹1,380.
The idea
Two steps, both through the cost price. Applying 25% to ₹1,080 to bridge from −10% to +15% is a common shortcut and a wrong one.
Shortcut. New SP = old SP × 115/90 = 1,080 × 23/18; 1,080 ÷ 18 = 60, and 60 × 23 = ₹1,380.
Common trap. "₹1,350" — adding 25% (the jump from −10% to +15%) to ₹1,080, when both percentages refer to the cost.