Multiple choice

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 A and B are in the ratio of 2 : 3, then the number of males using public transport in place A is what percent of the number of persons using bus in place B?

  1. 122.22%

  2. 141.66%

  3. 151.25%

  4. 176.25%

  5. None of these
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A Correct answer
Explanation

Let population A = 2x, B = 3x. Public transport users in A = 0.55 * 2x = 1.1x. Males in A = 0.60 * 1.1x = 0.66x. Public transport users in B = 0.60 * 3x = 1.8x. Bus users in B = 0.30 * 1.8x = 0.54x. Percentage = (0.66x / 0.54x) * 100 = 122.22%.

AI explanation

Assume the populations of place A and place B are 200 and 300 based on the 2:3 ratio. The number of males using public transport in A is 200 * 0.55 * 0.60, resulting in 66. The number of persons using the bus in B is 300 * 0.60 * 0.30, resulting in 54. Using the percentage comparison formula, we calculate (66 / 54) * 100, which yields 122.22%.

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