Sonali invests 15% of her monthly salary in insurance policies. She spends 55% of her monthly salary in shopping and on household expenses. She saves the remaining amount at X 12750. What is Sonali is monthly income?

Options

A. X 42500
B. X 38800
C. X 40000
D. X 35500

Answer

To find Sonali's monthly income based on her investments, expenses, and savings, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the percentages of salary for investments and expenses:**
- Sonali invests 15% of her monthly salary in insurance policies.
- She spends 55% of her monthly salary on shopping and household expenses.

2. **Calculate total expenses:**
- Total expenses = Investment + Shopping and Household Expenses
- Total expenses = 15% + 55% = 70% of her monthly salary.

3. **Determine the percentage of salary that is saved:**
- Since total expenses are 70%, the remaining percentage that Sonali saves is:
- Savings = 100% - 70% = 30% of her monthly salary.

4. **Set up the equation for savings:**
- Let Sonali's monthly salary be \( X \).
- According to the problem, her savings amount to 12,750.
- Therefore, we can express this as:
\[ 30\% \text{ of } X = 12,750 \]
or
\[ \frac{30}{100} \times X = 12,750 \]

5. **Solve for \( X \):**
- Rearranging the equation gives:
\[ X = 12,750 \times \frac{100}{30} \]
- Simplifying this:
\[ X = 12,750 \times \frac{10}{3} \]
- Calculating:
\[ X = 12,750 \times 3.3333 \approx 42,500 \]

6. **Conclusion:**
- Sonali's monthly income is \( X = 42,500 \).

### Final Answer:
Sonali's monthly income is **42,500**.

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