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In a survey, people who travel by car, train or bus; 60% travel by only one medium, out of which ratio of those travel by only car, only train and only bus is 4 : 5 : 3. If 10% of total travel by both train and bus but not car, then people travel by train but not car is what percent more than the people travel by bus but not by car?

In a survey, people who travel by car, train or bus; 60% travel by only one medium, out of which ratio of those travel by only car, only train and only bus is 4 : 5 : 3. If 10% of total travel by both train and bus but not car, then people travel by train but not car is what percent more than the people travel by bus but not by car? Correct Answer 40%

GIVEN:

60% of total people travel by only one medium, out of which ratio of those travel by only car, only train and only bus is 4 : 5 : 3.

10% of total travel by both train and bus but not by car.

CONCEPT:

Venn diagram

CALCULATION:

People who travel by only one medium = 60% of total

⇒ People who travel by only Car = 60 × (4/12) = 20%

⇒ People who travel by only Train = 60 × (5/12) = 25%

⇒ People who travel by only Bus = 60 × (3/12) = 15%

People who travel by both train and bus but not car = 10% of total

× 100

= 40%

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