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A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?

Correct answer: D. 2 liters

  • A. 12 liters
  • B. 10 liters
  • C. 4 liters
  • D. 2 liters

Explanation

Initially, water is 10% of 70 litres, so it is 7 litres. If x litres of water are added, (7 + x) / (70 + x) = 12.5% = 1/8, giving 56 + 8x = 70 + x and x = 2 litres. The likely mistake is choosing 4 litres by applying the percentage increase only to the original mixture instead of the new total.

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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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