Total Electricity bill amount - SAR 523.19 shared between 8 members for the number of days lived accordingly.
The cost per day is divided as per the members lived together. not together as a whole for month.
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.
First determine the number of people living together each day and then distribute the daily cost accordingly.
*NUMBER OF days where each member lived:*
For the first 6 days [01-06], 7 members lived together. [Ali, Bilal, Jalal, Sabari, Mujeeb, Haroon, Ashik]
For the next 1 day [07], 6 members lived together. [Ali, Bilal, Jalal, Sabari, Mujeeb, Haroon]
For the next 5 days (08-12), 5 members lived together. [Ali, Bilal, Jalal, Sabari, Mujeeb]
For the next 3 days (13-15), 4 members lived together. [Ali, Bilal, Jalal, Sabari]
For the next 15 days (16-30), 5 members lived together. [Ali, Bilal, Jalal, Sabari , Irfan]
Ali - 30 Days [From 01-30th]
Bilal - 30 Days [From 01-30th]
Jalal - 30 Days [From 01-30th]
Sabari - 30 Days [From 01-30th]
Irfan - 15 Days [From 15th-30th]
Mujeeb - 12 Days [From 01-12th]
Haroon - 7 Days [From 01-07th]
Ashik - 6 Days [From 01-6th]

To calculate the proportional share amount for each member of the house for the electricity bill of 30 days, we'll follow these steps:

1. **Determine the total daily cost of electricity**: 

\[ \text{Total bill} = 523.19 \text{ SAR} \]
\[ \text{Total days} = 30 \]
\[ \text{Cost per day} = \frac{523.19 \text{ SAR}}{30 \text{ days}} \approx 17.44 \text{ SAR/day} \]

2. **Determine the number of people living together each day**:
    - Days 01-06: 7 members
    - Day 07: 6 members
    - Days 08-12: 5 members
    - Days 13-15: 4 members
    - Days 16-30: 5 members

3. **Calculate the individual daily cost for each day based on the number of people living together**:

| Period       | Days | Members | Cost per member per day (SAR) | Total cost for period (SAR) |
|--------------|------|---------|-------------------------------|-----------------------------|
| 01-06        | 6    | 7       | \(\frac{17.44}{7} \approx 2.49\)  | \(6 \times 17.44 = 104.64\)  |
| 07           | 1    | 6       | \(\frac{17.44}{6} \approx 2.91\)  | \(1 \times 17.44 = 17.44\)   |
| 08-12        | 5    | 5       | \(\frac{17.44}{5} = 3.49\)        | \(5 \times 17.44 = 87.20\)   |
| 13-15        | 3    | 4       | \(\frac{17.44}{4} = 4.36\)        | \(3 \times 17.44 = 52.32\)   |
| 16-30        | 15   | 5       | \(\frac{17.44}{5} = 3.49\)        | \(15 \times 17.44 = 261.60\) |

4. **Calculate the total cost for each member**:

Let's create a table summarizing the number of days each member lived and their respective costs:

| Member | Days lived | Cost per day (SAR) | Total cost (SAR)                     |
|--------|------------|--------------------|--------------------------------------|
| Ali    | 30         | 2.49, 2.91, 3.49, 4.36 | \(6 \times 2.49 + 1 \times 2.91 + 5 \times 3.49 + 3 \times 4.36 + 15 \times 3.49 \approx 14.94 + 2.91 + 17.45 + 13.08 + 52.35 = 100.73\) |
| Bilal  | 30         | 2.49, 2.91, 3.49, 4.36 | \(6 \times 2.49 + 1 \times 2.91 + 5 \times 3.49 + 3 \times 4.36 + 15 \times 3.49 \approx 14.94 + 2.91 + 17.45 + 13.08 + 52.35 = 100.73\) |
| Jalal  | 30         | 2.49, 2.91, 3.49, 4.36 | \(6 \times 2.49 + 1 \times 2.91 + 5 \times 3.49 + 3 \times 4.36 + 15 \times 3.49 \approx 14.94 + 2.91 + 17.45 + 13.08 + 52.35 = 100.73\) |
| Sabari | 30         | 2.49, 2.91, 3.49, 4.36 | \(6 \times 2.49 + 1 \times 2.91 + 5 \times 3.49 + 3 \times 4.36 + 15 \times 3.49 \approx 14.94 + 2.91 + 17.45 + 13.08 + 52.35 = 100.73\) |
| Irfan  | 15         | 3.49                 | \(15 \times 3.49 \approx 52.35\)                                   |
| Mujeeb | 12         | 2.49, 2.91, 3.49     | \(6 \times 2.49 + 1 \times 2.91 + 5 \times 3.49 \approx 14.94 + 2.91 + 17.45 = 35.30\)                   |
| Haroon | 7          | 2.49, 2.91           | \(6 \times 2.49 + 1 \times 2.91 \approx 14.94 + 2.91 = 17.85\)                       |
| Ashik  | 6          | 2.49                 | \(6 \times 2.49 \approx 14.94\)                                     |

The total bill amount is divided as per the number of days each member lived together. The table summarizes each member's contribution to the total bill:

| Member | Total cost (SAR) |
|--------|------------------|
| Ali    | 100.73           |
| Bilal  | 100.73           |
| Jalal  | 100.73           |
| Sabari | 100.73           |
| Irfan  | 52.35            |
| Mujeeb | 35.30            |
| Haroon | 17.85            |
| Ashik  | 14.94            |

Let me know if you need further details or have any questions.

Learn how to calculate the proportional share of an electricity bill among house members based on the number of days each member lived together. This problem involves dividing the total bill of SAR 523.19 over 30 days according to the number of members living together each day. Suitable for understanding division and proportional sharing in practical scenarios.

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