What is the total number of person in the age group of 20 to 50 years in the villages A and B, taken together

Options

A. 4300
B. 4200
C. 4100
D. 4000

Answer

To find the total number of persons in the age group of 20 to 50 years in villages A and B, we will follow these steps:

### Step 1: Identify the total population of villages A and B.
- Village A has a total population of 5000.
- Village B has a total population of 6000.

### Step 2: Determine the percentage of the population in the age group of 20 to 50 years for each village.
- For village A, the percentage of the population in the age group of 20 to 50 years is 40%.
- For village B, the percentage of the population in the age group of 20 to 50 years is 35%.

### Step 3: Calculate the number of persons in the age group of 20 to 50 years for village A.
- The number of persons in village A in the age group of 20 to 50 years can be calculated as:
\[ \text{Number of persons in A} = \left(\frac{40}{100}\right) \times 5000 = 0.4 \times 5000 = 2000 \]

### Step 4: Calculate the number of persons in the age group of 20 to 50 years for village B.
- The number of persons in village B in the age group of 20 to 50 years can be calculated as:
\[ \text{Number of persons in B} = \left(\frac{35}{100}\right) \times 6000 = 0.35 \times 6000 = 2100 \]

### Step 5: Add the numbers from villages A and B to get the total.
- The total number of persons in the age group of 20 to 50 years in villages A and B is:
\[ \text{Total} = \text{Number of persons in A} + \text{Number of persons in B} = 2000 + 2100 = 4100 \]

### Final Answer:
The total number of persons in the age group of 20 to 50 years in villages A and B taken together is **4100**.

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