Sudhir decided to donate 18% of her monthly salary to an Orphanage. On the day of donation he changed his mind and donated Rs. 12510 which was 125% of what he had decided earlier. How much is Sudhir's monthly salary ?

Options

A. Rs. 46,600
B. Rs. 50,000
C. Rs. 48,300
D. Rs, 55,600

Answer

To find Sudhir's monthly salary based on the information provided, we can follow these steps:

### Step 1: Define the variables
Let Sudhir's monthly salary be denoted as \( X \).

### Step 2: Calculate the initial donation amount
Sudhir decided to donate 18% of his monthly salary to the orphanage. This can be expressed mathematically as:
\[ \text{Initial Donation} = \frac{18}{100} \times X = 0.18X \]

### Step 3: Understand the changed donation amount
On the day of the donation, Sudhir donated Rs. 12,510, which was 125% of what he had initially planned to donate. This can be expressed as:
\[ \text{Changed Donation} = 125\% \text{ of Initial Donation} = \frac{125}{100} \times (0.18X) = 1.25 \times 0.18X = 0.225X \]

### Step 4: Set up the equation
We know that the changed donation amount is equal to Rs. 12,510. Therefore, we can set up the equation:
\[ 0.225X = 12510 \]

### Step 5: Solve for \( X \)
To find \( X \), we can rearrange the equation:
\[ X = \frac{12510}{0.225} \]

Calculating the right side:
\[ X = \frac{12510}{0.225} = 55600 \]

### Conclusion
Sudhir's monthly salary is Rs. 55,600.