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A solution contains 25% sugar. If 200 grams of sugar is added to 800 grams of th

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Question: A solution contains 25% sugar. If 200 grams of sugar is added to 800 grams of the solution, what is the new percentage of sugar in the solution?

Options:

  1. 30%
  2. 25%
  3. 35%
  4. 40%

Correct Answer: 30%

Solution: 

Initial sugar = 0.25 * 800 = 200 grams. New sugar = 200 + 200 = 400 grams. Total solution = 800 + 200 = 1000 grams. New percentage = (400/1000) * 100 = 40%.

A solution contains 25% sugar. If 200 grams of sugar is added to 800 grams of th

Practice Questions

Q1
A solution contains 25% sugar. If 200 grams of sugar is added to 800 grams of the solution, what is the new percentage of sugar in the solution?
  1. 30%
  2. 25%
  3. 35%
  4. 40%

Questions & Step-by-Step Solutions

A solution contains 25% sugar. If 200 grams of sugar is added to 800 grams of the solution, what is the new percentage of sugar in the solution?
  • Step 1: Calculate the initial amount of sugar in the solution. Since the solution is 25% sugar and weighs 800 grams, multiply 0.25 by 800 to find the initial sugar: 0.25 * 800 = 200 grams.
  • Step 2: Add the additional sugar to the initial sugar. You have 200 grams of sugar already in the solution and you add another 200 grams. So, 200 + 200 = 400 grams of sugar in total.
  • Step 3: Calculate the new total weight of the solution. You started with 800 grams of the solution and added 200 grams of sugar, so the new total weight is 800 + 200 = 1000 grams.
  • Step 4: Calculate the new percentage of sugar in the solution. To find the percentage, divide the total amount of sugar (400 grams) by the total weight of the solution (1000 grams) and then multiply by 100: (400 / 1000) * 100 = 40%.
  • Percentage Calculation – Understanding how to calculate the percentage of a component in a solution based on its mass.
  • Mixture Problems – Applying knowledge of how to combine different quantities and calculate the resulting concentration.
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