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.

What is the total number of regular salaried employees of the region?

The correct option is 92160.

Step-by-step Explanation:

Step 1: Calculate the Total Population of the Region

The total working population of the region is given as 3 lacs.

1 lac = 1,00,000

Therefore, Total Population = 3 × 1,00,000 = 3,00,000.

Step 2: Calculate the Rural and Urban Populations

According to the survey, the rural population is 48% of the total population.

Rural Population = 48% of 3,00,000

$\text{Rural Population}=\frac{48}{100}\times \mathrm{3,00,000}=\mathrm{1,44,000}$

The remaining population belongs to the urban area.

Urban Population = Total Population - Rural Population

$\text{Urban Population}=\mathrm{3,00,000}-\mathrm{1,44,000}=\mathrm{1,56,000}$

Alternatively, Urban Population percentage = 100% - 48% = 52% of 3,00,000 = 1,56,000.

Step 3: Calculate the Number of Regular Salaried Employees in Both Areas

1. Rural Regular Salaried Employees:

Regular salaried workers constitute 12% of the rural population.

$\text{Rural Salaried Employees}=\mathrm{12\%}\text{of}\mathrm{1,44,000}$

$\text{Rural Salaried Employees}=\frac{12}{100}\times \mathrm{1,44,000}=\mathrm{17,280}$

2. Urban Regular Salaried Employees:

Regular salaried workers in urban areas are 48% of the urban population.

$\text{Urban Salaried Employees}=\mathrm{48\%}\text{of}\mathrm{1,56,000}$

$\text{Urban Salaried Employees}=\frac{48}{100}\times \mathrm{1,56,000}=\mathrm{74,880}$

Step 4: Find the Total Number of Regular Salaried Employees

Total regular salaried employees = Rural salaried employees + Urban salaried employees

$\text{Total Salaried Employees}=\mathrm{17,280}+\mathrm{74,880}=\mathrm{92,160}$

Thus, the total number of regular salaried employees in the region is 92,160.