Out of her total monthly salary . Tanvy spends 30 % on house rent and 60 % of the rest on household expenditure . If she saves Rs. 10500 . What is her total monthly salary ?

Options

A. Rs `32900`
B. Rs `35000`
C. Rs `40000`
D. Rs `37500`

Answer

To find Tanvy's total monthly salary, we can follow these steps:

### Step 1: Define the total monthly salary
Let Tanvy's total monthly salary be represented by \( x \).

### Step 2: Calculate the amount spent on house rent
Tanvy spends 30% of her salary on house rent. Therefore, the amount spent on house rent is:
\[ \text{House Rent} = 30\% \text{ of } x = \frac{30}{100} \times x = 0.3x \]

### Step 3: Calculate the remaining salary after house rent
After spending on house rent, the remaining salary is:
\[ \text{Remaining Salary} = x - 0.3x = 0.7x \]

### Step 4: Calculate the amount spent on household expenditure
Tanvy spends 60% of the remaining salary on household expenditure. Therefore, the amount spent on household expenditure is:
\[ \text{Household Expenditure} = 60\% \text{ of } 0.7x = \frac{60}{100} \times 0.7x = 0.42x \]

### Step 5: Calculate the amount saved
The amount saved by Tanvy is the remaining salary after both expenditures:
\[ \text{Savings} = \text{Remaining Salary} - \text{Household Expenditure} = 0.7x - 0.42x = 0.28x \]

### Step 6: Set up the equation using the savings
We know that Tanvy saves Rs. 10,500. Therefore, we can set up the equation:
\[ 0.28x = 10500 \]

### Step 7: Solve for \( x \)
To find \( x \), we divide both sides of the equation by 0.28:
\[ x = \frac{10500}{0.28} \]
Calculating this gives:
\[ x = 37500 \]

### Conclusion
Tanvy's total monthly salary is Rs. 37,500.

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