Final price after two discounts — Aptitude Question
Final price after two discounts: An article marked ₹2,000 is sold after successive discounts of 25% and 20%. Answer and worked solution on CodeKairo.
- Topic: Profit & Loss
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 45 seconds
Question
An article marked ₹2,000 is sold after successive discounts of 25% and 20%. What is the final price?
Options
- ₹1,100
- ₹1,200
- ₹1,300
- ₹1,400
Show the answer and the worked solution
Correct answer: B. ₹1,200
Worked solution
- After 25% off: 2,000 × 0.75 = ₹1,500.
- After a further 20% off: 1,500 × 0.80 = ₹1,200.
Answer: ₹1,200.
The idea
Apply discounts one at a time in order. The order does not change the result, but combining them into 45% off does — that would give ₹1,100.
Shortcut. 25% off then 20% off keeps 3/4 × 4/5 = 3/5 of the price, and 3/5 of 2,000 is ₹1,200.
Common trap. "₹1,100" — adding the discounts to 45% and taking that off ₹2,000 in one go.