Samar spend 52% of his monthly salary on household expenditure and 23% on miscellaneous expenditure. If he is left with Rs. 4500, what is his monthly salary?

Options

A. A)16000
B. B)17500
C. C)17000
D. D)18000

Answer

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

### Step 1: Define the monthly salary
Let Samar's monthly salary be represented as \( S \).

### Step 2: Calculate the expenditures
According to the problem:
- Samar spends 52% of his salary on household expenditure.
- Samar spends 23% of his salary on miscellaneous expenditure.

We can express these expenditures in terms of \( S \):
- Household expenditure = \( 0.52S \)
- Miscellaneous expenditure = \( 0.23S \)

### Step 3: Calculate total expenditure
Now, we can calculate the total expenditure by adding the two expenditures together:
\[ \text{Total Expenditure} = 0.52S + 0.23S = 0.75S \]

### Step 4: Calculate the remaining salary
The remaining salary after these expenditures can be calculated as:
\[ \text{Remaining Salary} = S - \text{Total Expenditure} = S - 0.75S = 0.25S \]

### Step 5: Set up the equation
According to the problem, the remaining salary is given as Rs. 4500. Therefore, we can set up the equation:
\[ 0.25S = 4500 \]

### Step 6: Solve for \( S \)
To find \( S \), we can multiply both sides of the equation by 4:
\[ S = 4500 \times 4 = 18000 \]

### Conclusion
Samar's monthly salary is Rs. 18000.

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