A,B,C hired a Taxi for Rs.3840 and used it separately for 72 hours 108 hours an 252 hours respectively. The amount paid by C is

Options

A. Rs. 960
B. Rs. 2880
C. Rs. 1920
D. Rs. 2240

Answer

To find out how much C paid for the taxi, we will first determine the total hours used by A, B, and C, and then calculate the amount each person should pay based on their usage.

### Step-by-Step Solution:

1. **Identify the total cost and usage hours**:
- Total cost of the taxi = Rs. 3840
- Hours used by A = 72 hours
- Hours used by B = 108 hours
- Hours used by C = 252 hours

2. **Calculate the total hours used by A, B, and C**:
\[ \text{Total hours} = \text{Hours used by A} + \text{Hours used by B} + \text{Hours used by C} \]
\[ \text{Total hours} = 72 + 108 + 252 = 432 \text{ hours} \]

3. **Calculate the cost per hour**:
\[ \text{Cost per hour} = \frac{\text{Total cost}}{\text{Total hours}} = \frac{3840}{432} \]
To simplify:
\[ \text{Cost per hour} = \frac{3840 \div 48}{432 \div 48} = \frac{80}{9} \approx 8.89 \text{ Rs. per hour} \]

4. **Calculate the amount paid by C**:
\[ \text{Amount paid by C} = \text{Hours used by C} \times \text{Cost per hour} \]
\[ \text{Amount paid by C} = 252 \times \frac{80}{9} \]
\[ \text{Amount paid by C} = \frac{20160}{9} = 2240 \text{ Rs.} \]

Thus, the amount paid by C is **Rs. 2240**.