In a survey, it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone. If 55% owned both a car and a mobile phone, what per cent of those surveyed owned a car or a mobile phone or both?
- A65%
- B80%
- C85%Correct
- D97.5%
Explanation
To solve this problem, we use the principle of set theory for the union of two sets.
The formula is: Percentage owning a car or a mobile or both = (Percentage owning a car) + (Percentage owning a mobile) - (Percentage owning both).
Based on the survey data: Percentage owning a car = 80 percent. Percentage owning a mobile phone = 60 percent. Percentage owning both = 55 percent.
Applying the formula: Result = 80 + 60 - 55 Result = 140 - 55 Result = 85 percent.
Therefore, 85 percent of those surveyed owned a car or a mobile phone or both. The correct option is C.
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