New ratio after percentage raises: Akash, Bablu, and Chintu have salaries in the ratio 2 : 3 : 5. Their salaries increase by 15%, 10%, and 20% respectively. What is the new ratio of their salaries?

Difficulty: Easy

Correct Answer: 23 : 33 : 60

Explanation:


Introduction / Context:
Percentage changes on ratio terms can be handled by applying the change to each term and then simplifying to an integer ratio. This keeps relative comparisons correct after the increases.


Given Data / Assumptions:

  • Initial ratio A : B : C = 2 : 3 : 5.
  • Raises: +15%, +10%, +20% respectively.


Concept / Approach:
Apply multipliers to each term: 1.15 for +15%, 1.10 for +10%, 1.20 for +20%. Then clear decimals by multiplying by a common factor (e.g., 20 or 10) and reduce if needed.


Step-by-Step Solution:
New A = 2 × 1.15 = 2.30.New B = 3 × 1.10 = 3.30.New C = 5 × 1.20 = 6.00.Scale by 10 ⇒ 23 : 33 : 60.


Verification / Alternative check:
Pick a base (e.g., ₹ 2000, ₹ 3000, ₹ 5000). After applying increases, their absolute values maintain the proportionality 23 : 33 : 60 when normalized, confirming the result.


Why Other Options Are Wrong:

  • 3 : 3 : 10 and 20 : 22 : 40 arise from mis-scaling or skipping percentage application.
  • “None of these” is invalid since 23 : 33 : 60 is attainable exactly.


Common Pitfalls:

  • Adding percentages directly to the ratio numbers without using the correct multipliers.
  • Forgetting to clear decimals to express the ratio in integers.


Final Answer:
23 : 33 : 60

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