Question Details

A survey was conducted about the population of a particular region having working population of three lacs and information was collected about self-employed persons, casual wage workers, regular salaries employees of both urban and rural areas of the region. Self-employment is a key source of income in both rural and urban areas but it is more prevalent in rural areas (56% of the rural population) than in urban areas (40% of the urban population). Rural population was 48% of the total population. Regular salaried workers in urban areas were 48% of the urban population whereas in rural areas, regular salaried workers constituted 12% of the rural population. During the survey, the casual wage workers were found to be more common in rural areas than in urban areas. Casual wage workers in rural areas were 32% of the rural population whereas it was 12% of the urban population in urban areas.


If urban population of the region increased from 52% to 56% and percentage of self-employed in urban region remains same, then number of self-employed people in urban areas are:

Options

A

66840

B

68640

C

62700

D

67200

Show Answer

Correct Answer :

Option D

67200

Solution :

The correct option is 67200.


Let's solve the problem step-by-step:


Step 1: Identify the total working population of the region

Total working population = 3 lacs = 3,00,000


Step 2: Determine the new urban population percentage and count

According to the given condition, the urban population increases to 56% of the total population.

New urban population percentage = 56%

New urban population = 56% of 3,00,000

New urban population = 56 100 × 300000

New urban population = 56 × 3000 = 168000


Step 3: Calculate the number of self-employed people in the urban area

From the given survey data, self-employed persons in urban areas constitute 40% of the urban population.

Since the percentage of self-employed in the urban region remains the same (40%):

Number of self-employed people = 40 % of 168000

Number of self-employed people = 40 100 × 168000

Number of self-employed people = 40 × 1680 = 67200


Thus, the number of self-employed people in urban areas is 67200.

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