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x is 20% more than z and y is 80% more than z. Find x:y.

Correct answer: D. 2:3

  • A. 1:4
  • B. 3:4
  • C. 1:3
  • D. 2:3

Explanation

Take z as 100%; then x = 120% of z and y = 180% of z. Therefore x:y = 120:180 = 2:3. The likely mistake is option b, 3:4, from treating the percentage increases as if they were the final ratio values.

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About Percentages

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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