Question

In a market survey, $20\%$ opted for product $A$ whereas $60\%$ opted for product $B$. The remaining individuals were not certain. If the difference between those who opted for product $B$ and those who were uncertain was $720$, how many individuals were covered in the survey?

• A. $1440$
• B. $1800$
• C. $3600$
• D. $Datainadequate$

Answer 1

Answer: (B)

$1800$

Percentage of uncertain individuals

$=[100-(20+60\left)\right]\%=20\%$

Since,

$60\%$ of $x-20\%$ of $x=720$

$40\%$ of $x=720$

$\frac{40}{100}x=720$

$x=\frac{720\times 100}{40}=1800$

Hence the answer is $1800$.