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The salaries of A, B, and C are in the ratio 1:3:4. If the salaries are increased by 5%, 10%, and 15% respectively, then the increased salaries will be in the ratio:

A. 20:66:95
B. 21:66:95
C. 21:66:92
D. 19:66:92

Answer :

Final answer:

The increased salaries of A, B, and C after raises of 5%, 10%, and 15% respectively, will be in the ratio of 21:66:92.

Therefore, the correct option is C.

Explanation:

The question asks for the new ratio of salaries after each one has been increased by different percentages. Let's denote the original salaries of A, B, and C as 1x, 3x, and 4x respectively. After their respective raises of 5%, 10%, and 15%, their new salaries will be:

  • A's new salary = 1x + 0.05(1x) = 1.05x
  • B's new salary = 3x + 0.10(3x) = 3.30x
  • C's new salary = 4x + 0.15(4x) = 4.60x

To find the new ratio, we can express these as:

  • A's salary = 1.05x / 1.05x = 1
  • B's salary = 3.30x / 1.05x = 3.14 (Approximately 66 divided by 21)
  • C's salary = 4.60x / 1.05x = 4.38 (Approximately 92 divided by 21)

The approximate ratio, when multiplied by 21 to get whole numbers, becomes:

  • A's salary multiplier: 21
  • B's salary multiplier: 3.14 * 21 ≈ 66
  • C's salary multiplier: 4.38 * 21 ≈ 92

So, the increased salaries will be in the ratio of 21:66:92, which corresponds to option C.

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