Understanding the Road Accident Data

The problem provides data about 10,000 road accidents that occurred in Delhi during 2020. We are told that, on average, three people were involved in each accident. This allows us to calculate the total number of people involved in these accidents.

Total number of people involved = Number of accidents × Average people per accident

Total number of people involved = $10,000 \times 3 = 30,000$

Now, let's look at the provided tables to find the specific numbers needed for the ratio.

Calculating the Number of People with Mild Bruises

Table I provides the percentage of people involved in road accidents based on the severity of their injuries. The question asks for the number of people who escaped with mild bruises. According to Table I, 9% of the total people involved had mild bruises.

Number of people with mild bruises = 9% of Total people involved

Number of people with mild bruises = $\frac{9}{100} \times 30,000$

Number of people with mild bruises = $0.09 \times 30,000 = 2,700$

Calculating the Number of Fatalities due to Blood Loss

Table I tells us that 19% of the total people involved were fatalities. We first need to calculate the total number of fatalities.

Total number of fatalities = 19% of Total people involved

Total number of fatalities = $\frac{19}{100} \times 30,000$

Total number of fatalities = $0.19 \times 30,000 = 5,700$

Now, Table II breaks down the causes of these fatalities. We are interested in the number of people who died due to blood loss. According to Table II, 7% of the fatalities were due to blood loss.

Number of fatalities due to blood loss = 7% of Total number of fatalities

Number of fatalities due to blood loss = $\frac{7}{100} \times 5,700$}

Number of fatalities due to blood loss = $0.07 \times 5,700 = 399$

Determining the Ratio

The question asks for the approximate ratio of the number of people who escaped with mild bruises compared to the number of people who died due to blood loss.

Ratio = (Number of people with mild bruises) : (Number of fatalities due to blood loss)

Ratio = $2,700 : 399$

To simplify this ratio, we can divide both numbers by their greatest common divisor. Let's try dividing by small prime factors. Both numbers are divisible by 3.

• $2700 \div 3 = 900$
• $399 \div 3 = 133$

The simplified ratio is $900 : 133$.

We should check if 133 is divisible by any small prime numbers. $133 \div 7 = 19$. Both 7 and 19 are prime. Now check if 900 is divisible by 7 or 19. $900 \div 7 \approx 128.57$, $900 \div 19 \approx 47.37$. Since 900 is not divisible by 7 or 19, the ratio $900 : 133$ cannot be simplified further.

Comparing this with the given options, the ratio $900 : 133$ matches one of the options.

Final Answer Derivation

Based on our calculations, the number of people with mild bruises is 2,700, and the number of fatalities due to blood loss is 399. The ratio is $2700 : 399$, which simplifies to $900 : 133$. This corresponds directly to one of the provided options.

Revision Table: Road Accident Data Analysis

Additional Information: Interpreting Percentage Data

When dealing with data presented as percentages in tables, it's crucial to understand what the percentage is 'of'. In this problem:

• Percentages in Table I (Severity Analysis) are percentages of the total people involved in the accidents (30,000).
• Percentages in Table II (Fatalities Analysis) are percentages of the total number of fatalities (which is 19% of the total people involved).

Failing to distinguish between these base amounts (total people vs. total fatalities) can lead to incorrect calculations. Always read table headers and footnotes carefully to understand the basis of the percentages provided in data interpretation questions.