Passage

Directions: Study the following information carefully to answer the question given below. Place Percentage of Persons Using Public Transport Out of the Persons Using Public Transport, Percentage of Males Out of the Persons Using Public Transport, Percentage of Persons Using Bus A 55% 60% 20% B 60% 50% 30% C 70% 55% 40% D 55% 40% 40% E 80% 60% 50% F 70% 70% 30% G 50% 80% 30%

If the populations of places D, E, F and G are in the ratio of 3 : 7 : 9 : 11, then what percent of females out of the total population of places D, E, F and G use public transport?

Using the weighted average formula, assume the populations of places D, E, F, and G are 3, 7, 9, and 11 respectively, giving a total of 30. The number of females using public transport in each place is found by multiplying the population, the public transport percentage, and the female percentage (40%, 40%, 30%, and 20% respectively). This yields 0.66 for D, 2.24 for E, 1.89 for F, and 1.10 for G. Summing these gives 5.89, and dividing by the total population of 30 gives approximately 0.1963, which equals 19.66%.

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