State electricity board gives 15% discount on electric bills if it is paid before due date. One person gets Rs. 54 discount. The amount of actual bill was :

Options

A. Rs. 362
B. Rs. 359
C. Rs. 360
D. Rs. 361

Answer

To find the amount of the actual bill based on the given discount, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We know that the State Electricity Board offers a 15% discount on electric bills if paid before the due date. A person received a discount of Rs. 54.

2. **Set Up the Equation**: Let the actual bill amount be represented as Rs. X. The discount received, which is 15% of the actual bill, can be expressed mathematically as:
\[ \text{Discount} = 15\% \text{ of } X = \frac{15}{100} \times X \]
According to the problem, this discount is equal to Rs. 54:
\[ \frac{15}{100} \times X = 54 \]

3. **Solve for X**: To find X, we can rearrange the equation:
\[ X = \frac{54 \times 100}{15} \]

4. **Calculate the Value**:
- First, calculate \( 54 \times 100 = 5400 \).
- Next, divide by 15:
\[ X = \frac{5400}{15} = 360 \]

5. **Conclusion**: The amount of the actual bill was Rs. 360.

### Final Answer:
The amount of the actual bill was Rs. 360.

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