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?
Answer: 21 : 66 : 92
Explanation
Initially, the salaries are in the ratio 1:3:4. Let's assume the salaries are x, 3x, and 4x.
After the increases:
A's salary increases by 5%, so the new salary is x + 5% of x = x + 0.05x = 1.05x
B's salary increases by 10%, so the new salary is 3x + 10% of 3x = 3x + 0.10(3x) = 3.30x
C's salary increases by 15%, so the new salary is 4x + 15% of 4x = 4x + 0.15(4x) = 4.60x
Now, let's find the ratio of the increased salaries:
1.05x : 3.30x : 4.60x
To simplify, divide each term by 0.05x (the smallest common multiple):
1.05x / 0.05x = 21
3.30x / 0.05x = 66
4.60x / 0.05x = 92
So, the increased salaries are in the ratio 21:66:92.
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