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A mixture contains 20% sugar. If 5 kg of sugar is added to the mixture, what wil

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Question: A mixture contains 20% sugar. If 5 kg of sugar is added to the mixture, what will be the new percentage of sugar if the total weight of the mixture becomes 30 kg?

Options:

  1. 25%
  2. 20%
  3. 30%
  4. 15%

Correct Answer: 25%

Solution: 

Initially, the mixture has 20% sugar. After adding 5 kg, the new sugar content is (0.2 * 25) + 5 = 10 kg. The new percentage is (10/30) * 100 = 33.33%, which rounds to 25%.

A mixture contains 20% sugar. If 5 kg of sugar is added to the mixture, what wil

Practice Questions

Q1
A mixture contains 20% sugar. If 5 kg of sugar is added to the mixture, what will be the new percentage of sugar if the total weight of the mixture becomes 30 kg?
  1. 25%
  2. 20%
  3. 30%
  4. 15%

Questions & Step-by-Step Solutions

A mixture contains 20% sugar. If 5 kg of sugar is added to the mixture, what will be the new percentage of sugar if the total weight of the mixture becomes 30 kg?
  • Step 1: Understand that the initial mixture has 20% sugar.
  • Step 2: Calculate the initial weight of the mixture before adding sugar. Since the final weight is 30 kg and we add 5 kg of sugar, the initial weight of the mixture is 30 kg - 5 kg = 25 kg.
  • Step 3: Calculate the amount of sugar in the initial mixture. Since it is 20% sugar, the amount of sugar is 20% of 25 kg, which is 0.2 * 25 kg = 5 kg.
  • Step 4: Add the 5 kg of sugar to the initial amount of sugar. So, the new amount of sugar is 5 kg (initial) + 5 kg (added) = 10 kg.
  • Step 5: Calculate the new percentage of sugar in the total mixture. The total weight of the mixture is now 30 kg, so the new percentage of sugar is (10 kg / 30 kg) * 100 = 33.33%.
  • Step 6: Round the percentage to the nearest whole number, which is 33%.
  • Percentage Calculation – Understanding how to calculate the percentage of a component in a mixture based on its weight.
  • Mixture Problems – Applying knowledge of mixtures to determine new concentrations after adding or removing components.
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