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 percentage of regular salaried employees in rural areas corresponding to the number of casual wage workers in urban areas?

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The correct answer is 92.3%.

Step-by-Step Explanation:

Step 1: Understand the Total Population and Distribution

Let the total working population be 3,00,000 (3 lacs).

We are given that:

• Rural population = 48% of the total population

• Urban population = 100% - 48% = 52% of the total population

Calculating the actual numbers:

Rural population = 48% of 3,00,000 = $\frac{48}{100}\times \mathrm{3,00,000}=\mathrm{1,44,000}$

Urban population = 52% of 3,00,000 = $\frac{52}{100}\times \mathrm{3,00,000}=\mathrm{1,56,000}$

Step 2: Calculate the Number of Regular Salaried Employees in Rural Areas

According to the survey, regular salaried workers in rural areas constituted 12% of the rural population.

Number of regular salaried employees in rural areas = 12% of Rural population

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

Step 3: Calculate the Number of Casual Wage Workers in Urban Areas

According to the survey, casual wage workers in urban areas constituted 12% of the urban population.

Number of casual wage workers in urban areas = 12% of Urban population

= $\frac{12}{100}\times \mathrm{1,56,000}=\mathrm{18,720}$

Step 4: Calculate the Required Percentage

We need to find the percentage of regular salaried employees in rural areas relative to the casual wage workers in urban areas:

$\text{Percentage}=\left(\frac{\text{Regular salaried employees in rural areas}}{\text{Casual wage workers in urban areas}}\right)\times 100$

$\text{Percentage}=\left(\frac{\mathrm{17,280}}{\mathrm{18,720}}\right)\times 100$

Simplifying the fraction:

$\text{Percentage}=\frac{12}{13}\times 100\approx 92.307\%$

Rounding to one decimal place, we get 92.3%.