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A solution contains 40% sugar. If 10 liters of this solution is mixed with 5 lit

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Question: A solution contains 40% sugar. If 10 liters of this solution is mixed with 5 liters of pure sugar, what is the percentage of sugar in the new solution?

Options:

  1. 50%
  2. 60%
  3. 70%
  4. 80%

Correct Answer: 60%

Solution: 

Sugar in 10L = 40% of 10L = 4L. Total sugar = 4L + 5L = 9L. Total volume = 10L + 5L = 15L. Percentage = (9/15) * 100 = 60%.

A solution contains 40% sugar. If 10 liters of this solution is mixed with 5 lit

Practice Questions

Q1
A solution contains 40% sugar. If 10 liters of this solution is mixed with 5 liters of pure sugar, what is the percentage of sugar in the new solution?
  1. 50%
  2. 60%
  3. 70%
  4. 80%

Questions & Step-by-Step Solutions

A solution contains 40% sugar. If 10 liters of this solution is mixed with 5 liters of pure sugar, what is the percentage of sugar in the new solution?
  • Step 1: Calculate the amount of sugar in the 10 liters of solution. Since the solution is 40% sugar, multiply 10 liters by 0.40 to find the sugar content.
  • Step 2: 10 liters * 0.40 = 4 liters of sugar in the solution.
  • Step 3: Add the 5 liters of pure sugar to the 4 liters of sugar from the solution. This gives you the total amount of sugar.
  • Step 4: 4 liters + 5 liters = 9 liters of total sugar.
  • Step 5: Calculate the total volume of the new solution by adding the volume of the original solution and the volume of pure sugar.
  • Step 6: 10 liters + 5 liters = 15 liters of total solution.
  • Step 7: To find the percentage of sugar in the new solution, divide the total sugar by the total volume and multiply by 100.
  • Step 8: (9 liters of sugar / 15 liters of solution) * 100 = 60%.
  • Percentage Calculation – Understanding how to calculate the percentage of a component in a mixture based on its volume and concentration.
  • Mixture Problems – Applying knowledge of mixing solutions to determine the new concentration after combining different substances.
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