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In a certain locality, 200 people own Innova, 150 people own Scorpio, 175 people own Maruti and 145 people own Mercedez. 26% of the people do not own any of the above mentioned cars, 40 people own all the 4 cars. The number of people owning exactly 2 cars for any two of the above mentioned cars is 30. Nobody owns exactly 3 cars out of the 4 cars

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Answer:

Total Cars: 200 + 150 + 175 + 145 = 670

Number of cars for 40 people: 40 * 4 = 160

Number of cars for 30 people: 30 * 2 = 60

Number of cars for 40 people and 30 people: 160 + 60 = 220

70 people own 220 cars

670 - 220 = 450

450 people own 1 car each

Let's count how many people: 450 + 40 + 30 = 520 people

26% people do not own cars => 76% people own cars

520 = 74%

x = 100%

x = (520 * 26) / 74 = 702

total person = 702

702 - 520 = 182

182 people do not own cars

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