Question : The salaries of A, B, and C are in ratio 2 : 3 : 4. If increments of 30%, 20%, and 10% are allowed, respectively, in their salaries, then what will be the new ratio of their salaries?
Option 1: 22 : 11 : 18
Option 2: 18 : 13 : 22
Option 3: 13 : 18 : 22
Option 4: 22 : 18 : 13
Correct Answer: 13 : 18 : 22
Solution :
The salaries of A, B, and C are in ratio 2 : 3 : 4.
Let the salaries of A, B, and C be $2x,3x$, and $4x$, respectively.
Their salaries increase 30%, 20%, and 10%, respectively.
$\therefore$ The new ratio of their salaries
= $\frac{130}{100}×2x:\frac{120}{100}×3x:\frac{110}{100}×4x$
= $260x:360x:440x$
= $13:18:22$
Hence, the correct answer is 13 : 18 : 22.
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