If the population of a town at the beginning of a year was 1530000, and the birth rate was 53.2, while the death rate was 31.2 per 1000 of the population, then the net increase in the population at the end of the year was

Options

A. 336600
B. 363600
C. 366300
D. 330000

Answer

To find the net increase in the population of the town at the end of the year, we need to calculate the number of births and the number of deaths, and then find the difference between them. Here’s how to do it step by step:

### Step 1: Calculate the number of births
The birth rate is given as 53.2 per 1000 of the population.

1. **Population at the beginning of the year**: 1,530,000
2. **Birth rate**: 53.2 per 1000

To find the number of births, we use the formula:
\[ \text{Number of births} = \left(\frac{\text{Birth rate}}{1000}\right) \times \text{Population} \]

Substituting the values:
\[ \text{Number of births} = \left(\frac{53.2}{1000}\right) \times 1,530,000 \]

Calculating this:
\[ \text{Number of births} = 53.2 \times 1.53 = 81,636 \]

### Step 2: Calculate the number of deaths
The death rate is given as 31.2 per 1000 of the population.

1. **Death rate**: 31.2 per 1000

Using the same formula:
\[ \text{Number of deaths} = \left(\frac{\text{Death rate}}{1000}\right) \times \text{Population} \]

Substituting the values:
\[ \text{Number of deaths} = \left(\frac{31.2}{1000}\right) \times 1,530,000 \]

Calculating this:
\[ \text{Number of deaths} = 31.2 \times 1.53 = 47,796 \]

### Step 3: Calculate the net increase in population
Now, we find the net increase by subtracting the number of deaths from the number of births:
\[ \text{Net increase} = \text{Number of births} - \text{Number of deaths} \]

Substituting the values:
\[ \text{Net increase} = 81,636 - 47,796 \]

Calculating this:
\[ \text{Net increase} = 33,840 \]

### Final Answer
The net increase in the population at the end of the year is **33,840**.

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