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In a survey, 70% of these surveyed owned a car, and 75% of those surveyed owned a TV. If 55% owned both a car and a TV. What percent of those surveyed did not own either a car or a TV.
  • a)
    25%
  • b)
    20%
  • c)
    10%
  • d)
    5%
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a survey, 70% of these surveyed owned a car, and 75% of those surv...
Percentage of those surveyed did not own either a car or a tv.
(= 100 - (7075 - 55))
(= 100 - (145 - 55))
(= 100 - 90 = 10%)
Hence, the correct option is c).
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Most Upvoted Answer
In a survey, 70% of these surveyed owned a car, and 75% of those surv...
Given:
- 70% owned a car
- 75% owned a TV
- 55% owned both a car and a TV

To find:
- percent of those surveyed who did not own either a car or a TV

Solution:
Let's assume that the total number of people surveyed is 100.

- Number of people who own a car = 70% of 100 = 70
- Number of people who own a TV = 75% of 100 = 75
- Number of people who own both a car and a TV = 55% of 100 = 55

Now, we need to find the number of people who do not own either a car or a TV.

- Total number of people who own either a car or a TV = 70 + 75 - 55 = 90
- Number of people who do not own either a car or a TV = Total number of people surveyed - Total number of people who own either a car or a TV
= 100 - 90 = 10

Therefore, the percent of those surveyed who did not own either a car or a TV is:

= (Number of people who do not own either a car or a TV / Total number of people surveyed) x 100
= (10/100) x 100
= 10%

Hence, the correct answer is option (c) 10%.
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Community Answer
In a survey, 70% of these surveyed owned a car, and 75% of those surv...
Percentage of those surveyed did not own either a car or a tv.
(= 100 - (7075 - 55))
(= 100 - (145 - 55))
(= 100 - 90 = 10%)
Hence, the correct option is c).
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