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 ?

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Submitted by examrobotsa on

Q: 144 (IAS/2001)
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 ?

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,10,8,4,3,10,1

keywords: 

{'mobile phone': [0, 0, 1, 0], 'car': [0, 2, 12, 17], 'cent': [1, 2, 5, 5], 'survey': [1, 1, 2, 4]}

To find the percentage of people who owned a car or a mobile phone or both, we need to add the percentage of people who owned a car, the percentage of people who owned a mobile phone, and subtract the percentage of people who owned both to avoid double counting.

Let`s assume the total number of people surveyed as 100 for simplicity.

The percentage of people who owned a car is 80%.

The percentage of people who owned a mobile phone is 60%.

However, the percentage of people who owned both a car and a mobile phone is given as 55%.

To find the percentage of people who owned either a car or a mobile phone or both, we add the percentages and subtract the percentage of people who owned both:

80% + 60% - 55% = 85%

Therefore, the percentage of people who owned a car or a mobile phone or both is 85%.