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) Data inadequate​

Answer 1

Step-by-step explanation:

Let total =100

ProductA=20%of100=20

ProductB=60%of100=60

Remaining=100-(60+20)=100-80=20

So uncertain=20

Difference =product B-uncertain

=60-20=40

40=720(given)

1=720=40=18

So

Total=18×100=1800

Answer 2

b) 1800

The total number of individuals were covered in the survey is 1800.

Explanation:

Let x be the total number of individuals were covered in the survey.

Then According to the given information , we have

Number of individuals opted for product A = 0.20x

Number of individuals opted for product B = 0.60x

Remaining individuals (uncertain) = x-0.20x-0.60x=0.20x

Difference between those who  opted for product B and those who were uncertain  = 0.60x-0.20x=0.40x

It is given that  the difference between those who  opted for product B and those who were uncertain was 720.

⇒ 0.40x =720

⇒ $x= \dfrac{720}{0.40}=\dfrac{7200}{4}=1800$

Therefore , the total number of individuals were covered in the survey is 1800.

Hence, the correct answer is b) 1800 .

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