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In a survey, 60% of the participants preferred Brand A over Brand B. If 240 part

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Question: In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand B, how many participants were surveyed in total?

Options:

  1. 400
  2. 600
  3. 800
  4. 1000

Correct Answer: 600

Solution: 

Let the total number of participants be x. According to the problem, 40% of x = 240. Therefore, x = 240 / 0.4 = 600.

In a survey, 60% of the participants preferred Brand A over Brand B. If 240 part

Practice Questions

Q1
In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand B, how many participants were surveyed in total?
  1. 400
  2. 600
  3. 800
  4. 1000

Questions & Step-by-Step Solutions

In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand B, how many participants were surveyed in total?
  • Step 1: Understand that 60% of the participants preferred Brand A, which means 40% preferred Brand B.
  • Step 2: Let the total number of participants be represented by 'x'.
  • Step 3: Since 40% of the participants preferred Brand B, we can write this as 0.4 * x = 240.
  • Step 4: To find 'x', we need to solve the equation 0.4 * x = 240.
  • Step 5: Divide both sides of the equation by 0.4 to isolate 'x': x = 240 / 0.4.
  • Step 6: Calculate 240 divided by 0.4, which equals 600.
  • Step 7: Therefore, the total number of participants surveyed is 600.
  • Percentage Calculation – Understanding how to convert percentages into fractions and apply them to find total values.
  • Algebraic Manipulation – Setting up equations based on given information and solving for unknowns.
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