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If A = x% of y and B = y% of x, then which of the following is true?A is smaller than B.A is greater than BRelationship between A and B cannot be determined.If x is smaller than y, then A is greater than B.None of these

Question

If A = x% of y and B = y% of x, then which of the following is true?A is smaller than B.A is greater than BRelationship between A and B cannot be determined.If x is smaller than y, then A is greater than B.None of these

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Solution

Let's solve this step by step:

  1. A = x% of y can be written as A = x/100 * y
  2. B = y% of x can be written as B = y/100 * x

If we compare these two equations, we can see that they are the same. This is because multiplication is commutative, meaning that the order in which numbers are multiplied does not change the product.

Therefore, A = B.

So, the correct answer is "None of these".

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