A worker's salary was increased by 30%, so that his salary became Rs. 910. How much did he earn before the increase?

Options

A. 1300
B. 880
C. 700
D. 810

Answer

To find out how much the worker earned before the increase, we can follow these steps:

### Step 1: Understand the problem
The worker's salary was increased by 30%, and after the increase, his salary became Rs. 910. We need to find out what his salary was before the increase.

### Step 2: Set up the equation
Let the original salary be \( x \). After a 30% increase, the new salary can be expressed as:
\[ \text{New Salary} = x + 0.30x = 1.30x \]
We know that this new salary equals Rs. 910:
\[ 1.30x = 910 \]

### Step 3: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{910}{1.30} \]

### Step 4: Calculate \( x \)
Now, we will perform the division:
\[ x = \frac{910}{1.30} = \frac{9100}{130} \quad \text{(multiplying numerator and denominator by 10)} \]
Now simplify:
\[ x = \frac{9100 \div 10}{130 \div 10} = \frac{910}{13} \]
Now, divide 910 by 13:
\[ 910 \div 13 = 70 \]
Thus,
\[ x = 70 \times 10 = 700 \]

### Conclusion
The worker's salary before the increase was Rs. 700.