Question:

In a digestion trial, a goat consumed 800 g of DM and voided 800 g of faeces having 30% DM. What was the digestibility of DM in that goat?

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Digestibility Formula: $\text{Digestibility \%} = \frac{\text{Intake} - \text{Output}}{\text{Intake}} \times 100$.
$\text{Faecal DM} = 800 \times 0.30 = 240\text{ g} \implies \frac{800 - 240}{800} \times 100 = 70\%$.
  • 50%
  • 60%
  • 70%
  • 80%
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The Correct Option is C

Solution and Explanation


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).
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