The cost per day is divided as per the members lived together.
Divide and Calculate Proportional share amount for Each member of a house in a table format with below details for Electricity bill of 30 days.

Total Electricity bill amount - 523.19 shared between 7 members for the number of days lived.

Ali - 30 Days
Bilal - 30 Days
Jalal - 30 Days
Sabari - 30 Days
Irfan - 15 Days
Mujeeb - 12 Days
Haroon - 7 Days
Ashik - 6 Days

To calculate the proportional share amount for each member, we need to first determine the total number of member-days and then distribute the total electricity bill based on the proportion of days each member lived in the house.

### Step-by-Step Calculation

1. **Total Member-Days Calculation:**

\[ \text{Total Member-Days} = (30 \times 4) + 15 + 12 + 7 + 6 \]
\[ \text{Total Member-Days} = 120 + 15 + 12 + 7 + 6 \]
\[ \text{Total Member-Days} = 160 \]

2. **Daily Cost Calculation:**

\[ \text{Daily Cost} = \frac{\text{Total Electricity Bill}}{\text{Total Member-Days}} \]
\[ \text{Daily Cost} = \frac{523.19}{160} \]
\[ \text{Daily Cost} \approx 3.2699375 \]

3. **Share Calculation for Each Member:**

| Member | Days Lived | Share Amount |
|--------|------------|--------------|
| Ali    | 30         | $30 \times 3.2699375 = 98.098125$ |
| Bilal  | 30         | $30 \times 3.2699375 = 98.098125$ |
| Jalal  | 30         | $30 \times 3.2699375 = 98.098125$ |
| Sabari | 30         | $30 \times 3.2699375 = 98.098125$ |
| Irfan  | 15         | $15 \times 3.2699375 = 49.0490625$ |
| Mujeeb | 12         | $12 \times 3.2699375 = 39.23925$ |
| Haroon | 7          | $7 \times 3.2699375 = 22.8895625$ |
| Ashik  | 6          | $6 \times 3.2699375 = 19.619625$ |

### Final Table

| Member | Days Lived | Share Amount (₹) |
|--------|------------|------------------|
| Ali    | 30         | 98.10            |
| Bilal  | 30         | 98.10            |
| Jalal  | 30         | 98.10            |
| Sabari | 30         | 98.10            |
| Irfan  | 15         | 49.05            |
| Mujeeb | 12         | 39.24            |
| Haroon | 7          | 22.89            |
| Ashik  | 6          | 19.62            |

### Explanation

Each member's share is calculated by multiplying the number of days they lived in the house by the daily cost. This ensures that each member pays proportionally based on the number of days they utilized the electricity.

Do you want details or have any questions?

Here are 8 related questions for further exploration:

1. How would the shares change if one more member lived for 10 days?
2. What would be the daily cost if the total electricity bill was $600 instead of $523.19?
3. How can we adjust the calculation if a member disputes their days lived?
4. What if the electricity bill needs to include a fixed charge per member?
5. How would the total cost change if the price per day was $4.00 instead of $3.27?
6. How can we distribute costs if some members used more electricity than others?
7. What would be the cost per day if the total days lived increased to 180?
8. How to account for weekends where some members were not present?

**Tip:** Always verify the number of days each member lived to ensure accurate cost distribution.

Learn how to calculate the proportional share of an electricity bill among house members based on the number of days each member lived in the house. This problem involves basic arithmetic and proportional division, ensuring fair distribution of costs. Suitable for students in Grades 6-8.

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