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In a township of 1000 families, some families have an SUV and some families have a car. Some families have both the vehicles and some families have no vehicle. It is known that 350 families own an SUV. Out of those who own an SUV, 50% own a car too. If it is known that 75% of the families of the township owns at least one vehicle, how many families own at most one vehicle?
  • a)
    815
  • b)
    825
  • c)
    745
  • d)
    750
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a township of 1000 families, some families have an SUV and some fam...
No. of families who owns an SUV = 350
No. of families who owns both SUV and car = 50% of 350 = 175
It is given that 75% of the families own at least one vehicle
So, 250 families do not own any vehicle
No. of families who own a car and not an SUV = 750 – 350 = 400
So, no of families who own at most one vehicle
= 250 + (350 – 175) + (750 – 350) = 825
Hence, 825 is the correct answer
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Most Upvoted Answer
In a township of 1000 families, some families have an SUV and some fam...
Understanding the Problem
In a township of 1000 families, some families have an SUV and some families have a car. Some families have both the vehicles and some families have no vehicle. It is known that 350 families own an SUV. Out of those who own an SUV, 50% own a car too. If it is known that 75% of the families of the township own at least one vehicle, we need to find out how many families own at most one vehicle.

Calculating the Total Number of Families with at Least One Vehicle
- Total number of families in the township = 1000
- Number of families that own an SUV = 350
- Number of families that own both an SUV and a car = 50% of 350 = 175
- Number of families that own only an SUV = 350 - 175 = 175
- Number of families that own at least one vehicle = 75% of 1000 = 750

Finding the Number of Families with at Most One Vehicle
- Number of families that own at least one vehicle = 750
- Number of families that own both an SUV and a car = 175
- Number of families that own only an SUV = 175
- Number of families that own at most one vehicle = 750 - (175 + 175) = 400
Therefore, the number of families that own at most one vehicle is 400. So, the correct answer is option B) 825.
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Question Description
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