If 10% of an electricity bill is deducted, Rs 45 is still to be paid. How much was the bill ?

Options

A. a) Rs 50
B. b) Rs 40
C. c) Rs 35
D. d) Rs 54

Answer

To find out the original electricity bill before the deduction, we can follow these steps:

### Step 1: Understand the Problem
We know that 10% of the bill is deducted, and after this deduction, Rs 45 is still to be paid. This means that Rs 45 represents 90% of the original bill.

### Step 2: Set Up the Equation
Let the original bill be denoted as \( x \). Since 10% is deducted, 90% of the bill remains to be paid. Therefore, we can write the equation:
\[ 0.9x = 45 \]

### Step 3: Solve for \( x \)
To find \( x \), we need to divide both sides of the equation by 0.9:
\[ x = \frac{45}{0.9} \]

### Step 4: Calculate \( x \)
Now, we perform the division:
\[ x = 50 \]

### Conclusion
The original electricity bill was Rs 50.