Question

In a consumer preferences survey, 20% respondents opted for product A whereas 60% opted for product B. The remaining individuals were undecided. If the difference between those who opted for product B and those who were undecided is 720, how many individuals had been interviewed for the survey?

• A. 1440
• B. 1800
• C. 3600
• D. Data inadequate

Answer 1

Answer: (B)

1800

Answer 2

Let the total number of individuals who had been interviewed for the survey = 'x'
Number of respondents who had opted for product A = 20$\%$ of x
Number of respondents who had opted for product B = 60$\%$ of x
Number of respondents who had opted for none of the products = 20$\%$ of x ( remaining part out of 100$\%$)
Difference between those who opted for product B and those who were undecided is 720.

⇒ (60\%$$-20\%)x = 720

⇒ $40\%$ of x = 720 (or) x $=720(\frac{100}{40})$ (or) x = 1800

Hence, option B is the correct answer.The correct option is (B): 1800