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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?

Difficulty: Medium

Correct Answer: 23 : 33 : 60

Explanation:

Problem restatement
Apply 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/Approach
Scale 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/Alternative
No 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 Answer
23 : 33 : 60

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