Multiple choice

If 10 liters of water is added to some quantity of pure spirit, the concentration of spirit decreases by 10%. Quantity A Initial quantity of spirit Quantity B 100 liters

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Let the initial quantity of the pure spirit be x liters. When 10 liters of water is added, the concentration of spirit becomes x / (x + 10). The problem states that the concentration of spirit decreases by 10 percentage points, meaning the new concentration is 90%, or 0.90. Solving the equation x / (x + 10) = 0.90 gives x = 0.90x + 9, which simplifies to 0.10x = 9, so x = 90 liters. Since the initial quantity of spirit is 90 liters, Quantity B, which is 100 liters, is greater than Quantity A.

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