If y exceeds x by 25%, then x is less than y by?A16%B16.33%C20%D16.60%
Question
If y exceeds x by 25%, then x is less than y by?A16%B16.33%C20%D16.60%
Solution
Let's solve this step by step:
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We know that y exceeds x by 25%. This means y = x + 25% of x.
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To find out by how much x is less than y, we need to find the percentage difference between y and x, taking y as the reference point (since the question asks for how much less x is than y).
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The difference between y and x is y - x. Since y = x + 25% of x, y - x = 25% of x.
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To express this difference as a percentage of y, we divide it by y and multiply by 100%.
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Substituting y = x + 25% of x into the equation, we get (25% of x) / (x + 25% of x) * 100%.
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Simplifying this, we get 20%.
So, x is less than y by 20%. The answer is C) 20%.
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