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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) None of these

Answer: d
Explanation:
$$\eqalign{ & x\% \,{\text{of}}\,y = {\frac{x}{{100}} \times y} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\frac{y}{{100}} \times x} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = y\% \,{\text{of}}\,x \cr & So, A = B \cr} $$

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