Sure, let's solve this step-by-step.
1. Total Amount Paid:
The total amount that was paid, including a tax (Ts) of 10% and VAT of 13%, is RS. 323.18.
2. Base Cost Calculation:
We need to calculate the cost before any taxes were applied. Since the total tax rate (Ts + VAT) is 23%, the base cost can be obtained by removing this tax from the total paid amount.
[tex]\[
\text{Base Cost} = \frac{\text{Total Amount Paid}}{1.23} = \frac{323.18}{1.23} \approx 262.75\, \text{RS}
\][/tex]
3. Minimum Charge for the Initial Calls:
The minimum charge for the first 175 calls is fixed at RS. 200.
4. Additional Cost:
The cost for any additional calls beyond the first 175 can be calculated by subtracting the minimum charge from the base cost.
[tex]\[
\text{Additional Cost} = \text{Base Cost} - \text{Minimum Charge} = 262.75 - 200 = 62.75\, \text{RS}
\][/tex]
5. Charge Per Additional Call:
The charge per each additional call is RS. 1. To find the number of additional calls made, we use the additional cost.
[tex]\[
\text{Number of Additional Calls} = \frac{\text{Additional Cost}}{\text{Charge Per Additional Call}} = \frac{62.75}{1} = 62.75
\][/tex]
6. Total Calls Made:
To find the total number of calls made, we sum the initial 175 calls with the additional calls.
[tex]\[
\text{Total Calls Made} = 175 + \text{Number of Additional Calls} = 175 + 62.75 = 237.75
\][/tex]
Since the number of calls must be a whole number, it appears that the total calls made in this situation would be about 238 calls (rounding up from 237.75 if considering it in a practical context).
Thus, the total number of telephone calls made is approximately 238 calls.
