At the beginning of 1990, the population of a certain state was 53.2% rural and 46.8% urban. Based on past trends, it is expected that 10% of the population currently residing in the rural areas will move into the urban areas, while 16% of the population currently residing in the urban areas will move into the rural areas in the next decade. What was the population distribution in that state at the beginning of 2000?
A) 56.972% rural and 43.028% urban
B) 55.368% rural and 44.632% urban
C) 44.632% rural and 55.368% urban
D) 43.028% rural and 56.972% urban

Question

At the beginning of 1990, the population of a certain state was 53.2% rural and 46.8% urban. Based on past trends, it is expected that 10% of the population currently residing in the rural areas will move into the urban areas, while 16% of the population currently residing in the urban areas will move into the rural areas in the next decade. What was the population distribution in that state at the beginning of 2000? ​
A) 56.972% rural and 43.028% urban
B) 55.368% rural and 44.632% urban
C) 44.632% rural and 55.368% urban
D) 43.028% rural and 56.972% urban

Quizplus · Accepted Answer

At the beginning, 53.2% of the population is rural and 46.8% is urban. If 10% of the rural population moves to urban, that's 5.32% (10% of 53.2%) moving to urban. If 16% of the urban population moves to rural, that's 7.488% (16% of 46.8%) moving to rural. So, the new rural population is 53.2% - 5.32% + 7.488% = 55.368%, and the new urban population is 46.8% + 5.32% - 7.488% = 44.632%.

At the Beginning of 1990, the Population of a Certain