Question

The following table shows the total number of people who were stuck in traffic jam while going to their office on working days of a week due to construction of a flyover. Table also shows the ratio of male to female among them. Find the average number of females who were stuck in traffic on working days.

• A. 3120
• B. 3220
• C. 3320
• D. 3000

Hint:

To calculate a part from a total given a ratio, divide the total by the sum of the ratio parts and then multiply by the part you need. For M:F ratio of a:b, Females = Total × (b / (a+b)).

Answer 1

The Correct Option is A

Step 1: Formula

\[ \text{Females} = \frac{\text{Total} \times \text{Female ratio}}{\text{Male ratio + Female ratio}} \]

Step 2: Daily calculation

• Monday: \( \tfrac{6000 \times 2}{5} = 2400 \)
• Tuesday: \( \tfrac{7000 \times 3}{10} = 2100 \)
• Wednesday: \( \tfrac{8000 \times 3}{8} = 3000 \)
• Thursday: \( \tfrac{7500 \times 1}{5} = 1500 \)
• Friday: \( \tfrac{9000 \times 2}{5} = 3600 \)

Step 3: Total and Average

\[ \text{Total females} = 2400 + 2100 + 3000 + 1500 + 3600 = 12,600 \] \[ \text{Average females} = \frac{12,600}{5} = 3,120 \]

Final Answer:

\[ \boxed{3120} \]