Reena, Reema and Meera take a car on rent and they use that car for 14h, 16h and 22h, respectively. What amount will be paid by Meera, if total rent of the car is X 2080 ?

Options

A. ? 880
B. ? 1280
C. ? 1040
D. ?1280

Answer

To find out how much amount Meera will pay for the car rental, we can follow these steps:

### Step 1: Determine the time used by each person
- Reena used the car for 14 hours.
- Reema used the car for 16 hours.
- Meera used the car for 22 hours.

### Step 2: Set up the ratio of time used
We will create a ratio based on the hours each person used the car:
- Reena : Reema : Meera = 14 : 16 : 22

### Step 3: Simplify the ratio
To simplify the ratio, we can divide each term by 2:
- 14 ÷ 2 = 7
- 16 ÷ 2 = 8
- 22 ÷ 2 = 11

Thus, the simplified ratio is:
- Reena : Reema : Meera = 7 : 8 : 11

### Step 4: Calculate the total parts of the ratio
Now, we add the parts of the ratio together:
- Total parts = 7 + 8 + 11 = 26

### Step 5: Calculate the amount per part
The total rent for the car is given as ₹2080. To find the amount for each part, we divide the total rent by the total parts:
- Amount per part = Total rent / Total parts
- Amount per part = 2080 / 26

Calculating this gives:
- Amount per part = ₹80

### Step 6: Calculate Meera's share
Now, to find out how much Meera will pay, we multiply the amount per part by the number of parts Meera has in the ratio:
- Meera's share = Amount per part × Meera's parts
- Meera's share = 80 × 11

Calculating this gives:
- Meera's share = ₹880

### Final Answer
Meera will pay ₹880 for the car rental.

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