A travel agency has three types of vehicles viz.four seater autorickshaw 10 seater maxi cab and 20 seater minibus the rate of each passenger(irrespective of its age or weight or seniority) for the auto rickshaw is `₹12` and for the maxicab is `₹15` and for the minibus is `₹8` for the one round the average occupancy of the seats is 100% ,80% and 75% respectively if he has only one vehicle of each kind,then the average earning for one round of each vehicle is:

Options

A. `₹96`
B. `₹90`
C. `₹86`
D. `₹70`

Answer

To find the average earnings for one round of each vehicle type, we will calculate the earnings for each vehicle based on their occupancy rates and fares, and then find the average of these earnings.

### Step-by-Step Solution:

1. **Calculate Earnings for the Auto Rickshaw:**
- **Seats:** 4
- **Occupancy Rate:** 100%
- **Fare per Passenger:** ₹12
- **Earnings Calculation:**
\[ \text{Earnings} = \text{Number of Seats} \times \text{Occupancy Rate} \times \text{Fare} \]
\[ \text{Earnings} = 4 \times 1 \times 12 = 48 \text{ rupees} \]

2. **Calculate Earnings for the Maxi Cab:**
- **Seats:** 10
- **Occupancy Rate:** 80% (0.8)
- **Fare per Passenger:** ₹15
- **Earnings Calculation:**
\[ \text{Earnings} = 10 \times 0.8 \times 15 \]
\[ \text{Earnings} = 10 \times 12 = 120 \text{ rupees} \]

3. **Calculate Earnings for the Minibus:**
- **Seats:** 20
- **Occupancy Rate:** 75% (0.75)
- **Fare per Passenger:** ₹8
- **Earnings Calculation:**
\[ \text{Earnings} = 20 \times 0.75 \times 8 \]
\[ \text{Earnings} = 20 \times 6 = 120 \text{ rupees} \]

4. **Total Earnings Calculation:**
- **Total Earnings from all vehicles:**
\[ \text{Total Earnings} = \text{Earnings from Auto Rickshaw} + \text{Earnings from Maxi Cab} + \text{Earnings from Minibus} \]
\[ \text{Total Earnings} = 48 + 120 + 120 = 288 \text{ rupees} \]

5. **Calculate Average Earnings:**
- **Number of Vehicle Types:** 3
- **Average Earnings Calculation:**
\[ \text{Average Earnings} = \frac{\text{Total Earnings}}{\text{Number of Vehicle Types}} \]
\[ \text{Average Earnings} = \frac{288}{3} = 96 \text{ rupees} \]

### Final Answer:
The average earning for one round of each vehicle is **₹96**.

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