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If x% of 200=y% of 250, find y:x.

Correct answer: D. 4:5

  • A. 5:4
  • B. 5:2
  • C. 2:5
  • D. 4:5

Explanation

The equality is (x/100) × 200 = (y/100) × 250, so 200x = 250y and y:x = 200:250 = 4:5. Therefore the ratio is 4:5. The likely mistake is option a, 5:4, caused by reversing the requested ratio y:x.

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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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