The population of a town is `2,86,988`. `(5)/(11)` of them are male and rest are females. `50%` of female are married.
(a) Find the `%` of married population.
(b) Find the `%` of married male.

Options

A. `55.54%, 57%`
B. `64.64%, 55%`
C. `54.54%, 60%`
D. `44.44%, 56%`

Answer

To solve the problem step by step, let's break it down into manageable parts.

### Given:
- Total population = 286,988
- Male population = \( \frac{5}{11} \) of total population
- Female population = Total population - Male population
- 50% of females are married

### Step 1: Calculate the number of males and females
1. **Calculate the number of males**:
\[ \text{Number of males} = \frac{5}{11} \times 286,988 \]
\[ \text{Number of males} = 130,994 \]

2. **Calculate the number of females**:
\[ \text{Number of females} = 286,988 - 130,994 \]
\[ \text{Number of females} = 155,994 \]

### Step 2: Calculate the number of married females
3. **Calculate the number of married females**:
\[ \text{Married females} = 50\% \text{ of females} = \frac{50}{100} \times 155,994 \]
\[ \text{Married females} = 77,997 \]

### Step 3: Calculate the number of married males
4. **Assuming the married males are equal to the married females** (as per the video transcript):
\[ \text{Married males} = 77,997 \]

### Step 4: Calculate the total married population
5. **Calculate the total married population**:
\[ \text{Total married population} = \text{Married males} + \text{Married females} \]
\[ \text{Total married population} = 77,997 + 77,997 = 155,994 \]

### Step 5: Calculate the percentage of married population
6. **Calculate the percentage of married population**:
\[ \text{Percentage of married population} = \left( \frac{\text{Total married population}}{\text{Total population}} \right) \times 100 \]
\[ \text{Percentage of married population} = \left( \frac{155,994}{286,988} \right) \times 100 \approx 54.54\% \]

### Step 6: Calculate the percentage of married males
7. **Calculate the percentage of married males**:
\[ \text{Percentage of married males} = \left( \frac{\text{Married males}}{\text{Total males}} \right) \times 100 \]
\[ \text{Percentage of married males} = \left( \frac{77,997}{130,994} \right) \times 100 \approx 60\% \]

### Final Answers:
(a) The percentage of married population is approximately **54.54%**.
(b) The percentage of married males is **60%**.

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