Salaries after different increments — Aptitude Question
Salaries after different increments: The salaries of A, B and C are in the ratio 2 : 3 : 5. If they receive… Answer and worked solution on CodeKairo.
- Topic: Ratio & Proportion
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 75 seconds
Question
The salaries of A, B and C are in the ratio 2 : 3 : 5. If they receive increments of 15%, 10% and 20% respectively, what is the new ratio?
Options
- 3 : 3 : 10
- 10 : 11 : 20
- 23 : 33 : 60
- 23 : 33 : 62
Show the answer and the worked solution
Correct answer: C. 23 : 33 : 60
Worked solution
- New salaries ∝ 2 × 1.15 = 2.3, 3 × 1.10 = 3.3, 5 × 1.20 = 6.
- Multiplying all three by 10: 23 : 33 : 60.
Answer: 23 : 33 : 60.
The idea
Apply each percentage to its own term, then clear the decimals by scaling. Percentages never move between terms of a ratio.
Shortcut. 2 × 1.15 = 2.3 and 5 × 1.2 = 6 exactly, so scaled by 10 the ratio must start 23 and end 60 — only one option does.
Common trap. "23 : 33 : 62" — the first two terms are right, but 5 × 1.20 has slipped to 6.2 instead of 6.