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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 percent of those surveyed owned a car or a mobile phone or both?

Correct answer: C. 85%

  • A. 65%
  • B. 80%
  • C. 85%
  • D. 97.5%

Explanation

Using the inclusion-exclusion rule, the percentage owning a car or a mobile phone is 80% + 60% − 55% = 85%. The 55% who own both are subtracted once because they were counted in both groups. A student may choose 80% by counting only car owners and overlooking people who own a mobile phone but no car.

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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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