Shriuti decided ot donate `12%` of her salary to an orphanage. On the day of donation, she changed her mind and donated Rs. 3150 which was `75%` of what she had decided earlier. How much is Shruti's salary?

Options

A. Rs. 35000
B. Rs. 42500
C. Rs. 39100
D. Cannot be determined

Answer

To find Shruti's salary, we can follow these steps:

### Step 1: Define the variables
Let Shruti's salary be represented as \( X \).

### Step 2: Calculate the amount she initially planned to donate
Shruti decided to donate 12% of her salary. Therefore, the amount she planned to donate is:
\[ \text{Planned Donation} = 12\% \text{ of } X = \frac{12}{100} \times X = 0.12X \]

### Step 3: Calculate the actual donation amount
On the day of donation, she donated Rs. 3150, which was 75% of what she had initially planned to donate. Therefore, we can express this as:
\[ \text{Actual Donation} = 75\% \text{ of Planned Donation} = 0.75 \times (0.12X) = 0.75 \times 0.12X = 0.09X \]

### Step 4: Set up the equation
Since we know that the actual donation amount is Rs. 3150, we can set up the equation:
\[ 0.09X = 3150 \]

### Step 5: Solve for \( X \)
To find \( X \), we divide both sides of the equation by 0.09:
\[ X = \frac{3150}{0.09} \]

Calculating the right-hand side:
\[ X = 35000 \]

### Conclusion
Shruti's salary is Rs. 35,000.

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