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Study the information to answer these questions.
In a city there are six modes of transport available A, B, C, D, E and F for commuting. Out of a total number of commuters commuting daily in the city, 17171 commute only by A. 7359 commute only by B and 22077 commute only by C. 1471.8 commute only by D, 4906 commute only by E and 7359 commute only by F. 26983 commute by C as well as A , 9812 commute by E as well as A. 12265 commute by C as well as E daily. Assume that there is no overlap between the commuters of different modes (and their combination) of transport.
The number of commuters commutting by B,D and F taken together form .... percent of the total number of commuters commuting daily by A,C and E taken together ?
We are given the following information,
17171 commute only by A
7359 commute only by B
22077 commute only by C
14718 commute only by D
4906 commute only by E
7359 commute only by F
26983 commute by C as well as A
9812 commute by E as well as A
12265 commute by C as well as E
And we are given that there is no further overlap between any two modes of transport.
The total number of people commuting will be 122650
B, D, F taken together, will be 29436
A, C, E together will be: 93214
The question asks
B,D and F taken together form .... percent of the total number of commuters commuting daily by A,C and E taken together
So, what percent of 93214 equals 29436
$$\frac{29436}{93214}$$
31.5%
