Okay, let's tackle this question. The user is asking about calculating the Infant Mortality Rate (IMR). The village has a population of 10,000, with 500 total births and 400 live births in a year. There were 24 infant deaths and 8 maternal deaths. The question is to find the IMR.

First, I need to recall the formula for IMR. From what I remember, the IMR is calculated by dividing the number of infant deaths in a year by the number of live births in the same year, then multiplying by 1000. So the formula is (Infant Deaths / Live Births) * 1000.

In the given data, there are 24 infant deaths and 400 live births. Plugging those numbers in: (24 / 400) * 1000 = 60. So the IMR should be 60 per 1000 live births.

Now, looking at the options, the correct answer would be the one that states 60. But wait, the user hasn't provided the options here. The options are labeled A to D but without the numbers. However, since the calculation leads to 60, I need to make sure that the correct answer is indeed 60.

Let me double-check the formula. Yes, IMR is definitely based on live births, not total births. Total births include stillbirths, but IMR specifically uses live births. The maternal deaths are a distractor here because they relate to the Maternal Mortality Rate, not IMR.

So the key points here are: IMR = (Infant Deaths / Live Births) * 1000. The infant deaths are 24, live births 400. 24 divided by 400 is 0.06, multiplied by 1000 gives 60. Therefore, the answer is 60. The other options might be using total births instead of live births, which would give 24/500*1000=48, which is incorrect. Or they might have miscalculated the multiplication step. Also, maternal deaths are irrelevant here. So the correct answer is 60.

**Core Concept:**
Infant Mortality Rate (IMR) is calculated as the number of infant deaths under 1 year of age per 1,000 live births in a year. It excludes maternal deaths and focuses strictly on live births, not total births (which include stillbirths).

**Why the Correct Answer is Right**
The formula for IMR is:
$$ IMR = left( frac{text{Number of Infant Deaths}}{text{Number of Live Births}} right) times 1000 $$
Here, infant deaths = 24, live births = 400.
$$ IMR = left( frac{24}{400} right) times 1000 = 60 $$
Total births (500) include stillbirths and are irrelevant for IMR. Maternal deaths (8) relate to Maternal Mortality Rate (MMR), not IMR.

✓ Correct Answer: D. 60