A rebate of 7.5% is allowed if an electric bill is paid in due time. A man gets a rebate of Rs. 16.50. The amount of the bill is (in - ₹)

Options

A. 160
B. 215
C. 240
D. 220

Answer

To find the amount of the electric bill given that a rebate of 7.5% results in a rebate of Rs. 16.50, we can follow these steps:

### Step 1: Understand the relationship between the rebate and the bill
The rebate of Rs. 16.50 corresponds to 7.5% of the total bill amount. We can express this relationship mathematically as:
\[ \text{Rebate} = \text{Bill Amount} \times \frac{7.5}{100} \]

### Step 2: Set up the equation
Let the total bill amount be \( X \). Therefore, we can write:
\[ 16.50 = X \times \frac{7.5}{100} \]

### Step 3: Rearrange the equation to solve for \( X \)
To isolate \( X \), we can rearrange the equation:
\[ X = \frac{16.50 \times 100}{7.5} \]

### Step 4: Calculate \( X \)
Now, we can perform the calculation:
1. First, calculate \( 16.50 \times 100 = 1650 \).
2. Next, divide \( 1650 \) by \( 7.5 \):
\[ X = \frac{1650}{7.5} \]

### Step 5: Simplify the division
To simplify \( \frac{1650}{7.5} \), we can multiply both the numerator and the denominator by 10 to eliminate the decimal:
\[ X = \frac{16500}{75} \]

### Step 6: Perform the division
Now, we can divide \( 16500 \) by \( 75 \):
1. \( 16500 \div 75 = 220 \)

### Conclusion
Thus, the amount of the electric bill is:
\[ X = 220 \]
So, the amount of the bill is **₹ 220**.

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