Problem Description:
The image provided is a receipt from Uber for a ride. The total cost of the ride is listed as
₹618.50. The breakdown of the cost includes:
-
Trip Fare: ₹511.46
-
Tolls, Surcharges, and Fees: ₹105.00
-
Wait Time: ₹2.04
-
Before Taxes: ₹513.50
-
GST (18%): ₹105.00
The task is to verify whether the total cost calculation is correct based on the given breakdown.
---
Solution Approach:
To verify the total cost, we need to sum up all the components mentioned in the receipt and check if they match the stated total (
₹618.50).
#### Step 1: Identify the components
The components listed in the receipt are:
1.
Trip Fare: ₹511.46
2.
Tolls, Surcharges, and Fees: ₹105.00
3.
Wait Time: ₹2.04
4.
Before Taxes: ₹513.50 (This is the sum of Trip Fare + Tolls, Surcharges, and Fees + Wait Time)
5.
GST (18%): ₹105.00
#### Step 2: Calculate the subtotal before taxes
The subtotal before taxes is the sum of:
- Trip Fare
- Tolls, Surcharges, and Fees
- Wait Time
\[
\text{Subtotal before Taxes} = \text{Trip Fare} + \text{Tolls, Surcharges, and Fees} + \text{Wait Time}
\]
\[
\text{Subtotal before Taxes} = ₹511.46 + ₹105.00 + ₹2.04 = ₹618.50
\]
However, the receipt explicitly states that the subtotal before taxes is
₹513.50. This suggests that the GST is already included in the total cost calculation.
#### Step 3: Verify the GST calculation
The GST is calculated as 18% of the subtotal before taxes. According to the receipt:
- Subtotal before Taxes = ₹513.50
- GST (18%) = ₹105.00
Let's calculate the GST manually:
\[
\text{GST} = 18\% \times \text{Subtotal before Taxes}
\]
\[
\text{GST} = 0.18 \times ₹513.50 = ₹92.43
\]
The GST calculated manually (
₹92.43) does not match the GST listed on the receipt (
₹105.00). This discrepancy suggests an error in the GST calculation or presentation.
#### Step 4: Recalculate the total
The total cost is the sum of:
- Subtotal before Taxes
- GST
Using the values from the receipt:
\[
\text{Total} = \text{Subtotal before Taxes} + \text{GST}
\]
\[
\text{Total} = ₹513.50 + ₹105.00 = ₹618.50
\]
This matches the total cost listed on the receipt.
---
Final Answer:
The total cost calculation appears to be correct based on the provided breakdown. However, there is a discrepancy in the GST calculation. The GST listed on the receipt (
₹105.00) does not align with the 18% of the subtotal before taxes (
₹513.50), which should be
₹92.43.
Thus, the
total cost of ₹618.50 is mathematically consistent with the provided breakdown, but the GST value needs verification.
\[
\boxed{₹618.50}
\]
Parent Tip: Review the logic above to help your child master the concept of printable receipt from uber.
