A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :

Options

A. Rs. 140
B. Rs. 160
C. Rs. 180
D. Rs. 220

Answer

To solve the problem of how much hire charges B paid, we can follow these steps:

### Step 1: Determine the total hours used by A, B, and C.
- A used the car for 7 hours.
- B used the car for 8 hours.
- C used the car for 11 hours.

**Total hours = 7 + 8 + 11 = 26 hours**

### Step 2: Calculate the share of each person based on hours used.
- The ratio of hours used by A, B, and C is:
- A : B : C = 7 : 8 : 11

### Step 3: Calculate the total parts in the ratio.
- Total parts = 7 + 8 + 11 = 26 parts

### Step 4: Determine the cost per hour.
- Total cost of hiring the car = Rs. 520
- Cost per hour = Total cost / Total hours = 520 / 26 = Rs. 20 per hour

### Step 5: Calculate the amount paid by B.
- B used the car for 8 hours.
- Amount paid by B = Cost per hour × Hours used by B = 20 × 8 = Rs. 160

### Final Answer:
- The hire charges paid by B were Rs. 160.

---