An insurance company pays Rs 3,24,000 after a new car worth Rs 4,50,000 gets completely damaged in an accident. How much percent of the car is insured ?

Options

A. `72%`
B. `82%`
C. `76%`
D. `78%`

Answer

To find out how much percent of the car is insured, we can follow these steps:

### Step 1: Identify the values
- The total value of the car is Rs 4,50,000.
- The amount paid by the insurance company after the accident is Rs 3,24,000.

### Step 2: Set up the percentage formula
To find the percentage of the car that is insured, we can use the formula:
\[ \text{Percentage Insured} = \left( \frac{\text{Insurance Payout}}{\text{Total Value of the Car}} \right) \times 100 \]

### Step 3: Substitute the values into the formula
Substituting the values we have:
\[ \text{Percentage Insured} = \left( \frac{3,24,000}{4,50,000} \right) \times 100 \]

### Step 4: Calculate the fraction
Now, we calculate the fraction:
\[ \frac{3,24,000}{4,50,000} = \frac{3,24}{4,50} \]
To simplify, we can divide both the numerator and denominator by 1000:
\[ \frac{324}{450} \]

### Step 5: Simplify the fraction
We can simplify this fraction further. Both numbers can be divided by 18:
\[ \frac{324 \div 18}{450 \div 18} = \frac{18}{25} \]

### Step 6: Convert to percentage
Now, we convert the fraction to a percentage:
\[ \frac{18}{25} \times 100 \]
Calculating this gives:
\[ 18 \times 4 = 72 \]

### Final Answer
Thus, the percentage of the car that is insured is **72%**.

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