After poaching 3 lions in a certain forest of Gujarat , only 15 are left in a year . Determine in the death rate per capita .

Options

A. `5.000`
B. `0.200`
C. `0.166`
D. `0.800`

Answer

To determine the death rate per capita after poaching 3 lions in a forest of Gujarat, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Initial Population**:
- After poaching 3 lions, only 15 lions are left. Therefore, before the poaching, the total population of lions was:
\[ \text{Initial Population} = \text{Remaining Lions} + \text{Poached Lions} = 15 + 3 = 18 \]

2. **Determine the Absolute Deaths**:
- The absolute number of deaths due to poaching is given as 3 lions.

3. **Calculate the Death Rate Per Capita**:
- The formula for death rate per capita is:
\[ \text{Death Rate Per Capita} = \frac{\text{Absolute Deaths}}{\text{Total Population at Mid-Year}} \]
- Here, the total population at mid-year is 18 (calculated in Step 1).
- Plugging in the values:
\[ \text{Death Rate Per Capita} = \frac{3}{18} \]

4. **Simplify the Fraction**:
- Simplifying the fraction gives:
\[ \text{Death Rate Per Capita} = \frac{1}{6} \approx 0.1667 \]

5. **Final Answer**:
- The death rate per capita is approximately 0.1667.