The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
Question
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
Solution 1
Let's solve this step by step:
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Let's assume the initial salaries of A, B, and C are 2x, 3x, and 5x respectively.
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After the increments, the new salaries will be:
- For A, it will be 2x + 15% of 2x = 2x + 0.15*2x = 2.3x
- For B, it will be 3x + 10% of 3x = 3x + 0.10*3x = 3.3x
- For C, it will be 5x + 20% of 5x = 5x + 1.0*5x = 6x
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So, the new ratio of their salaries will be 2.3 : 3.3 : 6.
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To simplify this ratio, we can multiply each term by 10 to remove the decimal, which gives us 23 : 33 : 60.
So, the new ratio of their salaries after the increments will be 23 : 33 : 60.
Solution 2
Let's solve this step by step:
-
Let's assume the initial salaries of A, B and C are 2x, 3x and 5x respectively.
-
After the increments, the new salaries will be:
For A: 2x + 15% of 2x = 2x + 0.152x = 2.3x For B: 3x + 10% of 3x = 3x + 0.103x = 3.3x For C: 5x + 20% of 5x = 5x + 0.20*5x = 6x
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Therefore, the new ratio of their salaries is 2.3 : 3.3 : 6.
This is the new ratio of their salaries after the increments.
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