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A mixture contains 60% of liquid X and 40% of liquid Y. If 5 liters of liquid Y

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Question: A mixture contains 60% of liquid X and 40% of liquid Y. If 5 liters of liquid Y is added, what will be the new percentage of liquid X in the mixture if the total volume becomes 25 liters?

Options:

  1. 60%
  2. 50%
  3. 40%
  4. 70%

Correct Answer: 60%

Solution:

Initial volume of X = 60% of 20 liters = 12 liters. New total = 25 liters. New percentage of X = (12/25) * 100 = 48%.

A mixture contains 60% of liquid X and 40% of liquid Y. If 5 liters of liquid Y

Practice Questions

Q1
A mixture contains 60% of liquid X and 40% of liquid Y. If 5 liters of liquid Y is added, what will be the new percentage of liquid X in the mixture if the total volume becomes 25 liters?
  1. 60%
  2. 50%
  3. 40%
  4. 70%

Questions & Step-by-Step Solutions

A mixture contains 60% of liquid X and 40% of liquid Y. If 5 liters of liquid Y is added, what will be the new percentage of liquid X in the mixture if the total volume becomes 25 liters?
  • Step 1: Understand that the mixture initially has 60% liquid X and 40% liquid Y.
  • Step 2: Calculate the initial total volume of the mixture before adding liquid Y. Since we know the percentages, we can assume the initial total volume is 20 liters (because 60% + 40% = 100%).
  • Step 3: Calculate the initial volume of liquid X. This is 60% of 20 liters, which is 12 liters.
  • Step 4: Add 5 liters of liquid Y to the mixture. The new total volume of the mixture is 20 liters + 5 liters = 25 liters.
  • Step 5: The volume of liquid X remains the same at 12 liters since we only added liquid Y.
  • Step 6: Calculate the new percentage of liquid X in the mixture. This is done by dividing the volume of liquid X (12 liters) by the new total volume (25 liters) and then multiplying by 100.
  • Step 7: Perform the calculation: (12 / 25) * 100 = 48%.
  • Step 8: Conclude that the new percentage of liquid X in the mixture is 48%.
  • Percentage Calculation – Understanding how to calculate percentages based on changes in volume.
  • Mixture Composition – Analyzing the composition of a mixture before and after adding a component.
  • Volume Change Impact – Recognizing how the addition of a substance affects the overall percentage of components in a mixture.
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