From the salary of an officer,` 10%` is deducted as house rent, `15%` of the rest he spends on children's education and `10%` of the balance, he spends on clothes. After this expenditure he is left with Rs. 1,377. His salary is

Answer

To find the salary of the officer, we will follow the steps outlined in the video transcript. Let's break it down step by step.

### Step 1: Assume the Salary
Let the salary of the officer be represented as `S`. For ease of calculation, we can assume that the salary is 200 units.

### Step 2: Calculate House Rent Deduction
The officer has a deduction of 10% for house rent.
- House Rent = 10% of S
- House Rent = 10% of 200 units = 20 units

### Step 3: Calculate Remaining Salary After House Rent
Now, we subtract the house rent from the total salary.
- Remaining Salary = S - House Rent
- Remaining Salary = 200 units - 20 units = 180 units

### Step 4: Calculate Education Expenses
The officer spends 15% of the remaining salary on children's education.
- Education Expenses = 15% of Remaining Salary
- Education Expenses = 15% of 180 units = 27 units

### Step 5: Calculate Remaining Salary After Education Expenses
Now, we subtract the education expenses from the remaining salary.
- Remaining Salary = Remaining Salary - Education Expenses
- Remaining Salary = 180 units - 27 units = 153 units

### Step 6: Calculate Clothing Expenses
The officer spends 10% of the remaining salary on clothes.
- Clothing Expenses = 10% of Remaining Salary
- Clothing Expenses = 10% of 153 units = 15.3 units

### Step 7: Calculate Final Remaining Salary
Now, we subtract the clothing expenses from the remaining salary.
- Final Remaining Salary = Remaining Salary - Clothing Expenses
- Final Remaining Salary = 153 units - 15.3 units = 137.7 units

### Step 8: Set Up the Equation
According to the problem, after all these deductions, the officer is left with Rs. 1,377.
- Final Remaining Salary = 137.7 units = 1,377 Rs.

### Step 9: Find the Value of One Unit
To find the value of one unit, we set up the equation:
- 137.7 units = 1,377 Rs
- 1 unit = 1,377 Rs / 137.7 = 10 Rs

### Step 10: Calculate the Salary
Now, we can find the actual salary by multiplying the assumed units by the value of one unit.
- Salary = 200 units * 10 Rs/unit = 2,000 Rs

### Conclusion
Therefore, the salary of the officer is **Rs. 2,000**.

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