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Examveda

If A = x% of y and B = y% of x, then which of the following is true?

A. A is smaller than B

B. A is greater than B

C. Relationship between A and B cannot be determined

D. If x is smaller than y, then A is greater than B

E. None of these

Answer: Option E

Solution(By Examveda Team)

$$\eqalign{ & x\% \,{\text{of}}\,y = {\frac{x}{{100}} \times y} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\frac{y}{{100}} \times x} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = y\% \,{\text{of}}\,x \cr & \therefore A = B \cr} $$

This Question Belongs to Arithmetic Ability >> Percentage

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