If A = x% of y and B = y% of x, then which of the following is true?
Aptitude
Percentage
Difficulty: Easy
Choose an option
Answer
Correct Answer: A = B
Explanation
Definitions
- A = x% of y = π₯ 100 Γ π¦ 100 x β Γy
- B = y% of x = π¦ 100 Γ π₯ 100 y β Γx
Step 1: Compare A and BA = π₯ 100 Γ π¦ 100 x β Γy = π₯ π¦ 100 100 xy β B = π¦ 100 Γ π₯ 100 y β Γx = π₯ π¦ 100 100 xy β
Conclusion
- Both expressions are identical for all real x and y.
Final AnswerA = B.