Question
Download Solution PDFIf X > Y > 0, then X% of Y is
- equal to Y% of X
- more than Y% of X
- less than Y% of X
- (X + Y)% of (X + Y)
Answer (Detailed Solution Below)
Option 1 : equal to Y% of X
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Detailed Solution
Download Solution PDFGiven:
If X > Y > 0 , then we need to determine the relationship between X\% of Y and Y\% of X .
Solution:
Step 1: Calculate X\% of Y :
\(X\% \text{ of } Y = \frac{X}{100} \times Y \\ = \frac{XY}{100}\)
Step 2: Calculate Y\% of X :
\(Y\% \text{ of } X = \frac{Y}{100} \times X \\ = \frac{YX}{100}\)
Step 3: Compare the two expressions:
Notice that \( \frac{XY}{100} = \frac{YX}{100} .\)
Therefore, X% of Y is equal to Y% of X .
Conclusion:
The correct answer is:
Option 1: equal to Y% of X
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