**Core Concept:** Calculating proportions of a whole using percentage and direct information about a subset (accidents) within that whole.

**Why the Correct Answer is Right:** We are given two pieces of information:
1. Accidents are responsible for 10% of total deaths in the city.
2. Total deaths reported are 500.

To find out the number of deaths due to accidents, we can use the following formula:

(Number of deaths due to accidents / Total deaths) * 100 = Percentage of accidents in total deaths

In this case:
(Number of deaths due to accidents / Total deaths) * 100 = (50 / 500) * 100 ≈ 10%

So, there are around 50 deaths due to accidents.

**Why Each Wrong Option is Incorrect:**

A. This option incorrectly assumes that accidents are responsible for 40% of total deaths, which is not supported by the information provided.
B. This option incorrectly assumes that accidents are responsible for 200 deaths, which is not derived from the given information.
C. This option incorrectly assumes that accidents are responsible for 60% of total deaths, which is not supported by the information provided.
D. This option incorrectly assumes that accidents are responsible for 300 deaths, which is not derived from the given information.

**Clinical Pearl:** Understanding proportions and direct calculations from given data is crucial in interpreting epidemiological data and making informed decisions in public health, medical practice, and research.

**Correct Answer:**

Correct Answer: C. Accidents are responsible for 40% of total deaths in the city.

Explanation:

The correct proportion of deaths due to accidents is 40% (10% of total deaths), which is derived from the given information:

(Number of deaths due to accidents / Total deaths) * 100 = (10 / 50) * 100 ≈ 40%

This means accidents are responsible for approximately 40% of total deaths in the city.