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X’s salary is half that of Y. If X gets a 50% rise and Y gets…

Paper 1 · Mathematical Reasoning and Aptitude
X's salary is half that of Y. If X gets a 50% rise and Y gets a 25% rise, then the percentage increase in the combined salaries of both is
A30%
B33.33% ✓ Correct
C37.5%
D75%
Correct answer: (B) 33.33% — The combined salaries increase by 33.33%, so that is the answer.
Explanation
The combined salaries increase by 33.33%, so that is the answer.
Let Y's salary be 100, so X's salary is 50 and the combined salary is 150.
X's 50 per cent rise makes X 75, and Y's 25 per cent rise makes Y 125.
The new combined salary is 75 plus 125, which is 200.
The increase is 50 on the original 150, that is 50 over 150.
This is 33.33 per cent.

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