Step 1: Understanding the Concept:
Apparent digestibility coefficient calculation: determining the percentage of ingested dry matter absorbed across the digestive tract.
Key Formula or Approach:
\[ \text{DM Digestibility (\%)} = \frac{\text{DM Intake} - \text{Faecal DM Output}}{\text{DM Intake}} \times 100 \]
Step 2: Detailed Explanation:
Step-by-step calculation:
1. Dry Matter (DM) consumed by goat = \( 800\text{ g} \).
2. Total fresh faeces voided = \( 800\text{ g} \) containing \( 30\%\text{ DM} \).
3. Total Faecal DM excreted = \( 800\text{ g} \times 0.30 = 240\text{ g} \).
4. Digested DM = \( 800\text{ g} - 240\text{ g} = 560\text{ g} \).
5. DM Digestibility percentage:
\[ \text{Digestibility} = \frac{560\text{ g}}{800\text{ g}} \times 100 = 70\% \]
Step 3: Final Answer:
Thus, the digestibility of DM is 70%, corresponding to option (C).