Sure, let's address each part of the question step-by-step.
Given data:
| Month | 1 Baishakh | 1 Jestha | 1 Asar | 1 Shrawan | 1 Bhadra | 1 Aswin |
|-----------|------------|----------|--------|-----------|----------|---------|
| Meter Reading | 5465 | 5500 | 5540 | 5570 | 5616 | 5660 |
### a) Units of electricity consumed in the month of Asar:
To find the units consumed in Asar, we need to subtract the meter reading of Jestha from the meter reading of Asar.
[tex]\[ \text{Units consumed in Asar} = \text{Meter reading on 1 Asar} - \text{Meter reading on 1 Jestha} \][/tex]
[tex]\[ \text{Units consumed in Asar} = 5540 - 5500 = 40 \][/tex]
So, 40 units were consumed in the month of Asar.
### b) Month with maximum consumption:
To find which month had the maximum consumption, we need to calculate the units consumed for each month by subtracting consecutive months' meter readings:
- Baishakh: [tex]\( 5500 - 5465 = 35 \)[/tex] units
- Jestha: [tex]\( 5540 - 5500 = 40 \)[/tex] units
- Asar: [tex]\( 5570 - 5540 = 30 \)[/tex] units
- Shrawan: [tex]\( 5616 - 5570 = 46 \)[/tex] units
- Bhadra: [tex]\( 5660 - 5616 = 44 \)[/tex] units
Thus, the month with the maximum consumption is Shrawan with 46 units.
### c) Electricity charge calculations:
We are given that the electricity charge rate is Rs 223.
#### i) Baishakh:
For the month of Baishakh, we calculate the usage from 1 Baishakh to 1 Jestha and then multiply by the electricity rate.
[tex]\[ \text{Units Baishakh to Jestha} = 5500 - 5465 = 35 \text{ units} \][/tex]
[tex]\[ \text{Payment for Baishakh} = 35 \text{ units} \times 223 \text{ Rs/unit} = 7805 \text{ Rs} \][/tex]
So, the payment made on 5 Jestha for Baishakh is Rs 7805.
#### ii) Jestha:
For the month of Jestha, we calculate the usage from 1 Jestha to 1 Asar and then multiply by the electricity rate.
[tex]\[ \text{Units Jestha to Asar} = 5540 - 5500 = 40 \text{ units} \][/tex]
[tex]\[ \text{Payment for Jestha} = 40 \text{ units} \times 223 \text{ Rs/unit} = 8920 \text{ Rs} \][/tex]
So, the payment made on 20 Asar for Jestha is Rs 8920.
### d) Meter reading on 1 Kartik:
If he paid the electricity charge of Rs 223 on 10 Kartik, we need to find out the units consumed to equate this charge and then use it to determine the meter reading on 1 Kartik.
The rate, Rs 223, matches exactly with the units consumed for the month of Aswin.
[tex]\[ \text{Units in Aswin} = \frac{\text{Payment}}{\text{Rate per unit}} = \frac{223 \text{ Rs}}{223 \text{ Rs/unit}} = 1 \text{ unit} \][/tex]
Now, we subtract these units from the meter reading of 1 Aswin to get the meter reading on 1 Kartik.
[tex]\[ \text{Meter reading on 1 Kartik} = \text{Meter reading on 1 Aswin} - \text{Units in Aswin} \][/tex]
[tex]\[ \text{Meter reading on 1 Kartik} = 5660 - 223 = 5437 \][/tex]
So, the meter reading on 1 Kartik was 5437.
