The salaries of A, B and C are in the ratio 4:10:25. If the increments of 30%, 15% and 25% are provided to A, B and C respectively in their salaries, what will be the ratio of their new salaries?
Question
The salaries of A, B and C are in the ratio 4:10:25. If the increments of 30%, 15% and 25% are provided to A, B and C respectively in their salaries, what will be the ratio of their new salaries?
Solution
Let's assume the initial salaries of A, B, and C to be 4x, 10x, and 25x respectively.
After the increments, the new salaries will be:
- For A: 4x + 30% of 4x = 4x + 1.2x = 5.2x
- For B: 10x + 15% of 10x = 10x + 1.5x = 11.5x
- For C: 25x + 25% of 25x = 25x + 6.25x = 31.25x
So, the new ratio of their salaries will be 5.2:11.5:31.25.
To simplify this ratio, we can multiply each term by 100 to remove the decimal points, which gives us 520:1150:3125.
We can then divide each term by 5 to simplify further, resulting in a final ratio of 104:230:625.
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