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The salaries of A, B, and C are in the ratio 2 : 3 : 5. If their salaries are increased by 15%, 10%, and 20% respectively, what will be the new ratio of their salaries?

A. 23:33:60
B. 21:33:55
C. 24 : 30 : 60
D. 23:30:58
Correct Answer: A. 23:33:60

To find the new ratio, we first calculate the new salary for each person based on their initial ratio and percentage increase.

  • Let the initial salaries of A, B, and C be 2x, 3x, and 5x respectively.
  • New salary for A: 2x * (1 + 0.15) = 2x * 1.15 = 2.3x
  • New salary for B: 3x * (1 + 0.10) = 3x * 1.10 = 3.3x
  • New salary for C: 5x * (1 + 0.20) = 5x * 1.20 = 6.0x

The new ratio is 2.3x : 3.3x : 6.0x. To eliminate decimals and simplify, multiply each term by 10, resulting in 23:33:60. Distractors B, C, and D result from incorrect percentage calculations or errors in simplifying the ratio.

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