The salaries of A, B, and C are in the ratio 2 : 3 : 5. After increments of 15%, 10%, and 20% respectively, what is the new ratio of their salaries?
Aptitude
Ratio and Proportion
Difficulty: Medium
Choose an option
Answer
Correct Answer: 23 : 33 : 60
Explanation
Problem restatementApply distinct percentage increases to each term of the ratio 2 : 3 : 5 and express the new ratio in simplest form.
Given data
- A's increase = 15% ⇒ factor 1.15.
- B's increase = 10% ⇒ factor 1.10.
- C's increase = 20% ⇒ factor 1.20.
Concept/ApproachScale each base ratio term by its factor and clear decimals to get integer ratio.
Step-by-step calculation New A = 2 × 1.15 = 2.30 New B = 3 × 1.10 = 3.30 New C = 5 × 1.20 = 6.00 Ratio = 2.30 : 3.30 : 6.00 = multiply by 10 → 23 : 33 : 60
Verification/AlternativeNo further common divisor across 23, 33, and 60; thus already in simplest form.
Common pitfalls
- Adding percentages directly to the ratio numbers (e.g., 2+15) instead of multiplying by growth factors.
Final Answer23 : 33 : 60